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WEIGHTED ESTIMATES FOR COMMUTATORS OF MULTILINEAR CALDERóN-ZYGMUND OPERATORS WITH NON-DOUBLING MEASURES 被引量:9
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作者 林海波 孟岩 杨大春 《Acta Mathematica Scientia》 SCIE CSCD 2010年第1期1-18,共18页
Let μ be a nonnegative Radon measure on Rd, which only satisfies the polynomial growth condition. Under this assumption, the authors obtain some weighted weaktype estimates for the commutators generated by the multil... Let μ be a nonnegative Radon measure on Rd, which only satisfies the polynomial growth condition. Under this assumption, the authors obtain some weighted weaktype estimates for the commutators generated by the multilinear CalderSn-Zygmund op- erators and RBMO(μ) functions. 展开更多
关键词 non-doubling measure COMMUTATOR multilinear Calderon-Zygmund opera-tor RBMO(μ) weight
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Boundedness of Multilinear Singular Integrals and Their Commutators on Morrey-Herz Spaces with Non-doubling Measures
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作者 周娟 朱月萍 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第4期545-555,共11页
Let μ be a non-negative Radon measure on R^d which satisfies some growth conditions. The boundedness of multilinear Calderon-Zygmund singular integral operator T and its commutators with RBMO functions on Morrey-Herz... Let μ be a non-negative Radon measure on R^d which satisfies some growth conditions. The boundedness of multilinear Calderon-Zygmund singular integral operator T and its commutators with RBMO functions on Morrey-Herz spaces are obtained if T is bounded from L^1(μ)χ…χ L^1(μ) to L1/m,∞(μ). 展开更多
关键词 non-doubling measure multilinear singular integral operator COMMUTATOR Morrey-Herz space
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BOUNDEDNESS OF VECTOR-VALUED CALDERN-ZYGMUND OPERATORS ON HERZ SPACES WITH NON-DOUBLING MEASURES
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作者 Baode Li Yinsheng Jiang Hui Cao 《Analysis in Theory and Applications》 2007年第2期138-146,共9页
In the paper we obtain vector-valued inequalities for Calderon-Zygmund operator, simply CZO on Herz space and weak Herz space. In particular, we obtain vector-valued inequalities for CZO on L^q(R^d,|x|^α d μ)spa... In the paper we obtain vector-valued inequalities for Calderon-Zygmund operator, simply CZO on Herz space and weak Herz space. In particular, we obtain vector-valued inequalities for CZO on L^q(R^d,|x|^α d μ)space, with 1〈q〈∞,-n〈α〈n(q-1),and on L^1,∞ (R^d,|x|^α d μ)space,with -n〈α〈0. 展开更多
关键词 Herz space weak Herz space non-doubling measure Calderon-Zygmund operator
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Iterated Commutators for Multilinear Singular Integral Operators on Morrey Space with Non-Doubling Measures
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作者 Tie Li Yinsheng Jiang Yaoming Niu 《Journal of Applied Mathematics and Physics》 2020年第1期53-69,共17页
Let μ be a non-negative Radon measure on Rd which only satisfies the following growth condition that there exists a positive constant C such that μ(B(x,r)) ≤ Crn?for all x∈ Rd, r > 0 and some fixed n ∈ (0,d]. ... Let μ be a non-negative Radon measure on Rd which only satisfies the following growth condition that there exists a positive constant C such that μ(B(x,r)) ≤ Crn?for all x∈ Rd, r > 0 and some fixed n ∈ (0,d]. This paper is interested in the properties of the iterated commutators of multilinear singular integral operators on Morrey spaces?.Precisely speaking, we show that the iterated commutators generated by multilinear singular integrals operators are bounded from to where (Regular Bounded Mean Oscillation space) and 1 qj ≤ pj ∞ with 1/p = 1/p1 + ... + 1/pm and 1/q = 1/q1+ ... + 1/qm. 展开更多
关键词 non-doubling measures MORREY Space MULTILINEAR Singular Integral Operators RBMO COMMUTATOR
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HealthMeasures患者报告结局报告清单的解读
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作者 臧娴 宗旭倩 +4 位作者 袁长蓉 王玲 吴傅蕾 张雯 黄青梅 《护士进修杂志》 2024年第10期1088-1092,共5页
美国匹兹堡大学和HealthMeasures指导委员会及PROMIS健康组织标准委员会共同发表了HealthMeasures患者报告结局报告清单,旨在促进不同患者报告结局测量工具的标准化报告,帮助研究人员提高工具报告质量及结果解释的准确性,进一步改善跨... 美国匹兹堡大学和HealthMeasures指导委员会及PROMIS健康组织标准委员会共同发表了HealthMeasures患者报告结局报告清单,旨在促进不同患者报告结局测量工具的标准化报告,帮助研究人员提高工具报告质量及结果解释的准确性,进一步改善跨研究间的比较分析。本文对HealthMeasures患者报告结局报告清单的主要内容进行介绍和解读,以期为中国患者报告结局研究者提供参考和借鉴。 展开更多
关键词 患者报告结局 报告清单 测量工具 标准化 解读
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Practice of Barrier Measures against COVID-19 Among Diabetic People Followed at Departmental University Hospital Center Ouémé-Plateau, Benin, in 2021
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作者 Yèssito Corine Nadège Houehanou Armand Wanvoègbe +4 位作者 Akouodé Thomas Hounto Luc Béhanzin Maurice Agonnoudé David Houéto Thierry Adoukonou 《Open Journal of Epidemiology》 2024年第2期249-259,共11页
Introduction: COVID-19 is a pandemic disease caused by the coronavirus SARS-COV2 appeared in China in 2019. The aim of the study was to evaluate the practice of barrier measures against COVID-19 and to identify associ... Introduction: COVID-19 is a pandemic disease caused by the coronavirus SARS-COV2 appeared in China in 2019. The aim of the study was to evaluate the practice of barrier measures against COVID-19 and to identify associated factors among diabetics followed at Departmental University Hospital Center Ouémé-Plateau, Benin, in 2021. Methods: This was a cross-sectional study conducted from June to August 2021, including diabetics aged 18 and over, hospitalized or received for medical visits in the department of medicine at the target hospital. Data were collected during an interview with each participant thanks to a questionnaire. “Good practice” was defined as regular practice of at least two of three barrier measures: hand washing, physical distancing and mask-wearing. Results: A total of 110 diabetics were included with a female predominance (55.5%) and a mean age of 57 ± 11.3 years. Among them, 89.1% washed their hands, 41.8% respected physical distancing and 12.7% wore a mask. The proportion of good practice was 47.3%. Only 5 practiced the three barrier measures. Only age group was associated with good practice. Conclusion: The study showed a low proportion of good practice of barrier measures against COVID-19 among diabetic people surveyed. It is important to continue the action for COVID-19 prevention among diabetic people in the targeted hospital and in other hospitals in Benin. 展开更多
关键词 COVID-19 Barrier measures PRACTICE Diabetic People BENIN
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Socio-scientific quantification of the comprehensive benefits of debris flow mitigation measures for villages in western Sichuan, China
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作者 DENG Ting XU Pei +4 位作者 LI Ming LU Yafeng WANG Yukuan LI Zhengyang SHRAVAN Kumar Ghimire 《Journal of Mountain Science》 SCIE CSCD 2024年第5期1598-1612,共15页
Debris flow hazards seriously threaten thesafety and sustainable development of mountainousareas. Numerous debris flow mitigation measures havebeen implemented worldwide;however, acomprehensive assessment of the speci... Debris flow hazards seriously threaten thesafety and sustainable development of mountainousareas. Numerous debris flow mitigation measures havebeen implemented worldwide;however, acomprehensive assessment of the specific disasterreduction effects of these measures and their economic,social and ecological benefits is yet to be performed.The western region of Sichuan Province frequentlysuffers from geohazards such as debris flow, and thegovernment has adopted many mitigation measures.This study assessed the benefits of debris flowmitigation measures and identified the key influencingfactors via a field-based study conducted in 81 villagesin western Sichuan province, China. A framework forthe evaluation of the benefits of rural debris flowmitigation measures was constructed andquantitatively evaluated using a survey. Snowballsampling was performed to recruit 81 village leadersand 468 farmers. The results showed that managementand engineering measures were the main methodsused to mitigate debris flow;ecological measures wereauxiliary. The average satisfaction scores of farmers forthese three types of measures were 4.07, 3.90, and 3.56,respectively (as measured on a five-point Likert scale).In contrast, in terms of the benefits of these mitigationmeasures, only a small proportion of villages (11.11%)obtained a high level of comprehensive benefits fromthe debris flow mitigation measures, while the majority(88.89%) received medium to low-level benefits. Toimprove this situation, we further studied and foundthat the main factors that restricted villages fromachieving high-level comprehensive benefits were theunpredictable nature of debris flows, labour forceoutflow and remoteness. Effective control measures, agood economic environment and strong governmentassistance were reported as crucial factors forimproving these comprehensive benefits. This studyprovides socio-scientific references for decisionmakingon rural debris flow mitigation measures while keeping villages at the centre of economic development. 展开更多
关键词 Mitigation measures Comprehensive benefit evaluation Debris flow Mountain development Rural areas
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Adherence to Physical Measures during the SARS-COV2 Pandemic by Haemodialysis Patients in a Burkina Faso Tertiary Hospital: A Cross-Sectional Survey
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作者 Bonzi Y. Juste Zoehinga Patrice +4 位作者 Sourabie Oumar Kabore D. Dieudonne Hien Siebou Sawadogo Amidou Coulibaly Gerard 《Open Journal of Nephrology》 2024年第3期375-385,共11页
Context: COVID-19 can spread rapidly in haemodialysis centres, leading to fatal outcomes. Implementing physical measures is crucial in limiting the spread of infection. Aims: To assess adherence to physical measures a... Context: COVID-19 can spread rapidly in haemodialysis centres, leading to fatal outcomes. Implementing physical measures is crucial in limiting the spread of infection. Aims: To assess adherence to physical measures against SARS-Cov2 in haemodialysis patients. Methods and Material: From 13 to 19 July 2021, we administered the questionnaire to haemodialysis patients during or immediately after the dialysis session. The dependent variables were adherence to wearing masks, hand washing outside the dialysis centre, social distancing of at least 1.5 meters, and cough and sneeze hygiene. Statistical Analysis Used: Data were analyzed using Epi info software;descriptive statistics were presented as mean, headcount, and percentage;related factors were determined by multi-logistic regression. The significance level was 5%. The Health Research Ethics Committee approved the research protocol. Results: 142 patients were included (mean age: 42.5 ± 14 years). Wearing masks, hand-washing, social distancing, and coughing and sneezing hygiene were observed by 88%, 75%, 47%, and 60% of patients, respectively. Conclusion: Wearing masks was the most respected physical measure, while social distancing was the least respected. 展开更多
关键词 Physical measures COVID-19 HAEMODIALYSIS SARS-COV2 Tertiary Hospital Sub-Saharan Africa
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Impact of Migrant Populations on Tuberculosis Rates in Saudi Arabia: Assessing How Migration Patterns Affect TB Incidence and Control Measures: A Narrative Review
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作者 Neda Ali Al Bati 《Journal of Tuberculosis Research》 2024年第3期165-181,共17页
This research focuses on the effects of migration on the TB infection rate and its prevention in Saudi Arabia, which has a large number of expatriates from TB-affected countries. Despite, based on the current global s... This research focuses on the effects of migration on the TB infection rate and its prevention in Saudi Arabia, which has a large number of expatriates from TB-affected countries. Despite, based on the current global statistics of TB occurrence, it is evident that the national incidence of TB has reduced from 10.55 per 100,000 in 2015 to 8.36 per 100,000 in 2019;despite this, there are still some difficulties because migrants bring new strains of Mycobacterium tuberculosis. Hindrances, including language barriers and perceived immigration status, hinder patients from seeking medical attention or doctors from diagnosing diseases. Each patient and each cultural group need special attention to public health, enhancing living circumstances, and health care support. Community participation, inclusion of TB control programs into functional healthcare facilities, and the functioning of TB programs need to be stressed to address TB issues. Considering the focus on social, economic, and cultural approaches, the country can make severe advancements in TB control and population protection. This holistic analysis is critical for a long-term effective strategy to combat TB in the Kingdom. 展开更多
关键词 Kingdom Saudi Arabia (KSA) Tuberculosis (TB) Prevalence MIGRANTS Control measures
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On the Polygonal Wear Evolution of Heavy-Haul Locomotive Wheels due to Wheel/Rail Flexibility and Its Mitigation Measures
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作者 Yunfan Yang Feifan Chai +3 位作者 Pengfei Liu Liang Ling Kaiyun Wang Wanming Zhai 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2024年第1期40-61,共22页
Wheel polygonal wear can immensely worsen wheel/rail interactions and vibration performances of the train and track,and ultimately,lead to the shortening of service life of railway components.At present,wheel/rail med... Wheel polygonal wear can immensely worsen wheel/rail interactions and vibration performances of the train and track,and ultimately,lead to the shortening of service life of railway components.At present,wheel/rail medium-or high-frequency frictional interactions are perceived as an essential reason of the high-order polygonal wear of railway wheels,which are potentially resulted by the flexible deformations of the train/track system or other external excitations.In this work,the effect of wheel/rail flexibility on polygonal wear evolution of heavy-haul locomotive wheels is explored with aid of the long-term wheel polygonal wear evolution simulations,in which different flexible modeling of the heavy-haul wheel/rail coupled system is implemented.Further,the mitigation measures for the polygonal wear of heavy-haul locomotive wheels are discussed.The results point out that the evolution of polygonal wear of heavy-haul locomotive wheels can be veritably simulated with consideration of the flexible effect of both wheelset and rails.Execution of mixed-line operation of heavy-haul trains and application of multicut wheel re-profiling can effectively reduce the development of wheel polygonal wear.This research can provide a deep-going understanding of polygonal wear evolution mechanism of heavy-haul locomotive wheels and its mitigation measures. 展开更多
关键词 Heavy-haul locomotive Wheel polygonal wear Wheel/rail flexibility Long-term polygonal wear evolution Mitigation measures
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Value of improved nursing measures and enhanced nursing management to reduce the occurrence of adverse events in pediatric infusion
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作者 Yan-Song Lv Jv Xue +2 位作者 Zhu Meng Qing Zhang Xiao-Hong Liu 《World Journal of Clinical Cases》 SCIE 2024年第20期4130-4136,共7页
BACKGROUND Intravenous infusion is a common method of drug administration in clinical practice.Errors in any aspect of the infusion process,from the verification of medical orders,preparation of the drug solution,to i... BACKGROUND Intravenous infusion is a common method of drug administration in clinical practice.Errors in any aspect of the infusion process,from the verification of medical orders,preparation of the drug solution,to infusion by nursing staff,may cause adverse infusion events.AIM To analyzed the value of improving nursing measures and enhancing nursing management to reduce the occurrence of adverse events in pediatric infusion.METHODS The clinical data of 130 children who received an infusion in the pediatric department of our hospital from May 2020 to May 2021 were analyzed and divided into two groups according to the differences in nursing measures and nursing management:65 patients in the control group received conventional nursing and nursing management interventions,while 65 patients in the observation group received improved nursing measure interventions and enhanced nursing management.The occurrence of adverse events,compliance of children,satisfaction of children’s families,and complaints regarding the transfusion treatment were recorded in both groups.RESULTS The incidence of fluid extravasation and infusion set dislodgement in the observation group were 3.08%and 1.54%,respectively,which were significantly lower than 12.31%and 13.85%in the control group(P<0.05),while repeated punctures and medication addition errors in the observation group were 3.08%and 0.00%,respectively,which were lower than 9.23%and 3.08%in the control group,but there was no significant difference(P>0.05).The compliance rate of children in the observation group was 98.46%(64/65),which was significantly higher than 87.69%(57/65)in the control group,and the satisfaction rate of children’s families was 96.92%(63/65),which was significantly higher than 86.15%(56/65)in the control group(P<0.05).The observation group did not receive any complaints from the child’s family,whereas the control group received four complaints,two of which were due to the crying of the child caused by repeated punctures,one due to the poor attitude of the nurse,and one due to medication addition errors,with a cumulative complaint rate of 6.15%.The cumulative complaint rate of the observation group was significantly lower than that of the control group(P<0.05).CONCLUSION Improving nursing measures and enhancing nursing management can reduce the incidence of fluid extravasation and infusion set dislodgement in pediatric patients,improve children’s compliance and satisfaction of their families,and reduce family complaints. 展开更多
关键词 Improved nursing measures Improved nursing management Pediatric infusion Adverse events COMPLIANCE Family complaints
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Influencing factors and preventive measures of infectious complications after intestinal resection for Crohn’s disease
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作者 Shi-Rong Lv Xiao Huang +4 位作者 Li-Yun Zhou Jie Shi Chu-Chu Gong Ming-Ke Wang Ji-Shun Yang 《World Journal of Gastrointestinal Surgery》 SCIE 2024年第10期3363-3370,共8页
The incidence of Crohn’s disease(CD)has increased in recent years,with most patients requiring intestinal resection.Complications after intestinal resection for CD can lead to poor prognosis and recurrence,among whic... The incidence of Crohn’s disease(CD)has increased in recent years,with most patients requiring intestinal resection.Complications after intestinal resection for CD can lead to poor prognosis and recurrence,among which infectious complic-ations are the most common.This study aimed to investigate the common risk factors,including medications,preoperative nutritional status,surgery-related factors,microorganisms,lesion location and type,and so forth,causing infectious complications after intestinal resection for CD,and to propose corresponding preventive measures.The findings provided guidance for identifying suscept-ibility factors and the early intervention and prevention of infectious complic-ations after intestinal resection for CD in clinical practice. 展开更多
关键词 Crohn’s disease Intestinal resection Postoperative infectious complications Influencing factors Preventive measures
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Influence of Lightning Disaster on Cities and Lightning Defense Measures
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作者 Pei WANG Tao ZHANG +1 位作者 Tengge'er WU Xiangjun ZHANG 《Meteorological and Environmental Research》 2024年第3期65-67,共3页
Under the influence of special terrain and climatic conditions,lightning weather in Ulanqab City is more frequent from June to August,and lightning disaster has become one of the important tasks of disaster prevention... Under the influence of special terrain and climatic conditions,lightning weather in Ulanqab City is more frequent from June to August,and lightning disaster has become one of the important tasks of disaster prevention and mitigation.In this paper,based on the characteristics of lightning weather in Ulanqab City,the impact of lightning disaster on the city was analyzed,and lightning protection measures,such as strengthening supervision of lightning protection safety,establishing a long-term lightning protection mechanism,doing a good job in lightning protection construction and detection in key places,and further improving public awareness of lightning protection,were put forward to reduce and avoid urban lightning disasters as much as possible and ensure urban safety. 展开更多
关键词 Lightning characteristics Disaster impact CITY Lightning protection measures
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On Adaptation Measures to Solve Tel-Aviv’s Environmental Problems with “Sunny Rain”
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作者 Michael Noppe 《Journal of Environmental Science and Engineering(A)》 CAS 2024年第1期23-26,共4页
Adaptation measures were proposed using“Sunny Rain”to solve Tel Aviv’s environmental problems to cool the air in the city and save humanity from climate catastrophe and fight air pollution;the Yarkon,“Tel Aviv’s ... Adaptation measures were proposed using“Sunny Rain”to solve Tel Aviv’s environmental problems to cool the air in the city and save humanity from climate catastrophe and fight air pollution;the Yarkon,“Tel Aviv’s main river”will no longer be a dirty ditch;the fog from Ben-Gurion Airport was cleaned;neighborhoods,parks,around Tel Aviv were greened and all green spaces were irrigated with“Sunny Rain”. 展开更多
关键词 “Sunny Rain” adaptation measures environmental problems the Yarkon.
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Whole petroleum system in Jurassic coal measures of Taibei Sag in Tuha Basin,NW China
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作者 ZHI Dongming LI Jianzhong +6 位作者 YANG Fan CHEN Xuan WU Chao WANG Bo ZHANG Hua HU Jun JIN Jikun 《Petroleum Exploration and Development》 SCIE 2024年第3期519-534,共16页
Based on the latest results of near-source exploration in the Middle and Lower Jurassic of the Tuha Basin,a new understanding of the source rocks,reservoir conditions,and source-reservoir-cap rock combinations of the ... Based on the latest results of near-source exploration in the Middle and Lower Jurassic of the Tuha Basin,a new understanding of the source rocks,reservoir conditions,and source-reservoir-cap rock combinations of the Jurassic Shuixigou Group in the Taibei Sag is established using the concept of the whole petroleum system,and the coal-measure whole petroleum system is analyzed thoroughly.The results are obtained in three aspects.First,the coal-measure source rocks of the Badaowan Formation and Xishanyao Formation and the argillaceous source rocks of the Sangonghe Formation in the Shuixigou Group exhibit the characteristics of long-term hydrocarbon generation,multiple hydrocarbon generation peaks,and simultaneous oil and gas generation,providing sufficient oil and gas sources for the whole petroleum system in the Jurassic coal-bearing basin.Second,multi-phase shallow braided river delta–shallow lacustrine deposits contribute multiple types of reservoirs,e.g.sandstone,tight sandstone,shale and coal rock,in slope and depression areas,providing effective storage space for the petroleum reservoir formation in coal-measure strata.Third,three phases of hydrocarbon charging and structural evolution,as well as effective configuration of multiple types of reservoirs,result in the sequential accumulation of conventional-unconventional hydrocarbons.From high structural positions to depression,there are conventional structural and structural-lithological reservoirs far from the source,low-saturation structural-lithological reservoirs near the source,and tight sandstone gas,coal rock gas and shale oil accumulations within the source.Typically,the tight sandstone gas and coal rock gas are the key options for further exploration,and the shale oil and gas in the depression area is worth of more attention.The new understanding of the whole petroleum system in the coal measures could further enrich and improve the geological theory of the whole petroleum system,and provide new ideas for the overall exploration of oil and gas resources in the Tuha Basin. 展开更多
关键词 Tuha Basin Taibei Sag Middle and Lower Jurassic whole petroleum system coal measure tight oil and gas coal rock gas shale oil
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A Boost to Inbound Tourism China sees surge in foreign travellers following introduction of visa-free transit measures
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作者 XIA YUANYUAN 《ChinAfrica》 2024年第8期48-49,共2页
One of the viral terms on Chinese social media these days-“city bu city”–was actually created by a foreign tourist.The tourist,a blogger,used the term,which literally means city or not city,in a short video he film... One of the viral terms on Chinese social media these days-“city bu city”–was actually created by a foreign tourist.The tourist,a blogger,used the term,which literally means city or not city,in a short video he filmed while visiting the Great Wall,wondering whether the place is like a fashionable big city. 展开更多
关键词 measures TOURIST SURGE
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Management Measures for Preventing Postoperative Incision Infections in General Surgery at Primary Hospitals
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作者 Jianqiang Yang 《Journal of Clinical and Nursing Research》 2024年第8期270-275,共6页
Objective:To analyze the management measures and effects of preventing postoperative incision infections in the general surgery department of primary hospitals.Methods:Forty-nine surgical patients with 11 healthcare w... Objective:To analyze the management measures and effects of preventing postoperative incision infections in the general surgery department of primary hospitals.Methods:Forty-nine surgical patients with 11 healthcare workers who were admitted to the general surgery department of the primary hospital between August 2021 and August 2022 were selected as the routine group for routine incision infection management.Forty-nine surgical patients with 11 healthcare workers admitted to the same department between September 2022 and September 2023 were selected as the prevention group for prophylactic management of postoperative incision infections.The incision infection rate,knowledge,attitude,and practice(KAP)scores,and management satisfaction of the patients as well as the management skill scores of healthcare workers were compared between the two groups.Results:The rate of postoperative incision infection in the prevention group was lower than that in the routine group;after implementing management measures,patients in the prevention group had higher KAP scores than those in the routine group;patients in the prevention group were more satisfied with the management than those in the routine group;and healthcare workers in the prevention group had higher scores than those in the routine group,with P<0.05 for the comparison between the groups.Conclusion:The implementation of preventive management for general surgery patients in primary hospitals can reduce the incidence of postoperative incision infection and improve the KAP of patients,with higher management satisfaction.It can also enhance the management skills of healthcare workers,thus improving their overall management level. 展开更多
关键词 Primary hospital General surgery Postoperative incision infection Management measures
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Morrey Spaces for Non-doubling Measures 被引量:25
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作者 Yoshihiro SAWANO Hitoshi TANAKA 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第6期1535-1544,共10页
The authors give a natural definition of Morrey spaces for Radon measures which may be non-doubling but satisfy certain growth condition, and investigate the boundedness in these spaces of some classical operators in ... The authors give a natural definition of Morrey spaces for Radon measures which may be non-doubling but satisfy certain growth condition, and investigate the boundedness in these spaces of some classical operators in harmonic analysis and their vector-valued extension. 展开更多
关键词 Morrey space non-doubling measure VECTOR-VALUED
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Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures 被引量:10
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作者 Jing-shi XU Department of Mathematics, Hunan Normal University, Changsha 410081, China 《Science China Mathematics》 SCIE 2007年第3期361-376,共16页
The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RMBO(μ) functions of Tolsa with non-doubling measures is obtained, provided that ∥μ∥ = ∞ and multilinear singular... The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RMBO(μ) functions of Tolsa with non-doubling measures is obtained, provided that ∥μ∥ = ∞ and multilinear singular integrals are bounded from L 1(μ) × L 1(μ) to L 1/2,∞(μ). 展开更多
关键词 multilinear singular integral COMMUTATOR maximal function non-doubling measure RMBO(μ) function Primary 42B20 Secondary 42B25
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Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures 被引量:8
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作者 Guo En HU Yan MENG Da Chun YANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第6期1129-1148,共20页
Let μ be a non-negative Radon measure on R^d which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of maximal Calderón-Zygmund o... Let μ be a non-negative Radon measure on R^d which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of maximal Calderón-Zygmund operators and maximal commutators which are variants of the usual maximal commutators generated by Calder6ón- Zygmund operators and RBMO(μ) functions, where the Hardytype spaces are some appropriate subspaces, associated with the considered RBMO(μ) functions, of the Hardv soace H^I(μ) of Tolsa. 展开更多
关键词 maximal commutator Calderon Zygmund operator RBMO(μ) Hardy-type space non-doubling measure
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