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REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES
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作者 曹广福 何莉 张艺渊 《Acta Mathematica Scientia》 SCIE CSCD 2023年第2期655-667,共13页
In this paper,we characterize reverse Carleson measures for a class of generalized Fock spaces F^(p)_(φ),with 0<p<∞and withφsatisfying dd^(c)_(φ)■ω0.As an application of these results,we obtain several equ... In this paper,we characterize reverse Carleson measures for a class of generalized Fock spaces F^(p)_(φ),with 0<p<∞and withφsatisfying dd^(c)_(φ)■ω0.As an application of these results,we obtain several equivalent characterizations for invertible Toeplitz operators Tψ,induced by positive bounded symbols φ on F^(2)_(φ). 展开更多
关键词 reverse carleson measures invertible Toeplitz operators generalized Fock spaces
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CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF C^n 被引量:3
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作者 彭茹 欧阳才衡 《Acta Mathematica Scientia》 SCIE CSCD 2013年第5期1219-1230,共12页
This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces Bp^σ(B) and p-Carleson measure in the unit ball of C^n. As applications, we characterize the Riemann-Stieltjes operat... This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces Bp^σ(B) and p-Carleson measure in the unit ball of C^n. As applications, we characterize the Riemann-Stieltjes operators and multipliers acting on Bp(B) spaces by means of Carleson measures for Bp^σ(B). 展开更多
关键词 carleson measures Besov-Sobolev spaces Riemann-Stieltjes operators MULTIPLIERS
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CARLESON MEASURES,RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p,q,s)SPACES IN THE UNIT BALL OF C^n 被引量:3
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作者 彭茹 吴悠 邓方文 《Acta Mathematica Scientia》 SCIE CSCD 2016年第3期635-654,共20页
This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of C^n which contain many classical function spaces, such as the Bloch space, B... This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of C^n which contain many classical function spaces, such as the Bloch space, BMOA and Q8 spaces. The boundedness and compactness of these operators on F(p, q, s) spaces are characterized by means of an embedding theorem, i.e., F(p,q, s) spaces boundedly embedded into the tent-type spaces Tp,s^∞(μ) 展开更多
关键词 carleson measures F(p q s) spaces tent-type spaces Riemann-Stieltjes operators MULTIPLIERS
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CARLESON MEASURES AND THE GENERALIZED CAMPANATO SPACES OF VECTOR-VALUED MARTINGALES 被引量:2
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作者 Lin YU Ruhui WANG Shoujiang ZHAO 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1779-1788,共10页
In this paper, the so-called(p,Ф)-Carleson measure is introduced and the rela-tionship between vector-valued martingales in the general Campanato spaces Lp,Ф(X) and the (p, Ф)-Carleson measures is investigate... In this paper, the so-called(p,Ф)-Carleson measure is introduced and the rela-tionship between vector-valued martingales in the general Campanato spaces Lp,Ф(X) and the (p, Ф)-Carleson measures is investigated. Specifically, it is proved that for q ∈ [2, ∞), the measure d# :-=││ dfk││^qdP dm is a (q, Ф)-Carleson measure on Ω × N for every f ∈ Lq,Ф(X) if and only if X has an equivalent norm which is q-uniformly convex; while for p C (1, 2], the measure dμ :=││dfk││^pP dm is a (p, Ф)-Carleson measure on Ω ×N implies that f ∈ Lp,Ф(X) if and only if X admits an equivalent norm which is p-uniformly smooth. This result extends an earlier result in the literature from BMO spaces to general Campanato spaces. 展开更多
关键词 carleson measures BMO martingales generalized Campanato spaces uni-formly convex (smooth) Banach spaces
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α-CARLESON MEASURE AND BLOCH FUNCTIONS ON BOUNDED SYMMETRIC DOMAINS OF C^n
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作者 欧阳才衡 《Acta Mathematica Scientia》 SCIE CSCD 1995年第4期385-393,共9页
In this paper we defineα-Carleson measure in the Bergman metric on bounded symmetric domains. Some necessary and sufficient conditions about it and Bloch functions on the domains are given.
关键词 carleson measure Bloch functions bounded symmetric domains.
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Measurements of non-equilibrium and equilibrium temperature behind a strong shock wave in simulated martian atmosphere 被引量:4
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作者 Xin Lin Xi-Long Yu +3 位作者 Fei Li Shao-Hua Zhang Jian-Guo Xin Xin-Yu Zhang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第5期1296-1302,共7页
Non-equilibrium radiation measurements behind strong shock wave for simulated Martian atmosphere are presented in this paper. The shock wave is established in a hydrogen oxygen combustion driven shock tube. Time- reso... Non-equilibrium radiation measurements behind strong shock wave for simulated Martian atmosphere are presented in this paper. The shock wave is established in a hydrogen oxygen combustion driven shock tube. Time- resolved spectra of the Av = 0 sequence of the B^2∑^+ → X^2∑^+ electronic transition of CN have been observed through optical emission spectroscopy (OES). A new method, which is based on fitting high resolution spectrum for rotational and vibrational temperatures measurement, is proposed to diag- nose temperature distribution behind the shock wave. It is estimated that the current scheme has the maximum deviation less than 8% (lσ) for vibrational temperature measurement through detailed analysis of the influence of the uncertainties of spectroscopic constants and spectral resolution. Radiation structure of the shock layer, including induction, relaxation and equilibrium process, and corresponding rotational and vibrational temperatures are obtained through time gating OES diagnostics with sub-microsecond temporal resolution. The present extensive results will strongly benefit the reaction rate estimation and computational fluid dynamics (CFD) code validation in high enthalpy Mars reentry chemistry. 展开更多
关键词 Radiation measurements - Shock wave Marsre-entry Rotational temperature Vibrational temperature
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D_(K) SPACES AND CARLESON MEASURES 被引量:1
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作者 Dongxing LI Hasi WULAN Ruhan ZHAO 《Acta Mathematica Scientia》 SCIE CSCD 2022年第3期1103-1112,共10页
We give some characterizations of Carleson measures for Dirichlet type spaces by using Hadamard products.We also give a one-box condition for such Carleson measures.
关键词 DK space Hadamard product mean growth carleson measure
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MIMO Channel Measurement and Characterization at 6.0-6.4 GHz Under Typical Classroom Environment 被引量:3
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作者 Ji-Liang Zhang Yang Wang +2 位作者 Li-Qin Ding Xiao-Min Huang Nai-Tong Zhang 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2014年第1期69-76,共8页
An extensive 4 x 4 MIMO channel measurement is carried out at 6. 0-6. 4 GHz under a typical classroom environment with channel sounder based on vector network analyzer. Both LOS and NLOS scenarios are considered. The ... An extensive 4 x 4 MIMO channel measurement is carried out at 6. 0-6. 4 GHz under a typical classroom environment with channel sounder based on vector network analyzer. Both LOS and NLOS scenarios are considered. The results on path loss, delay spread and spatial correlation are presented. The measurement shows that, for corridor coverage, 2x2 MIMO is more economical than 4x4 MIMO due to high correlation. In order to identify the unique characteristics at the high frequency band, the measured channel parameters at 6. 0-6.4 GHz are compared with those at 2. 45 GHz. The comparison shows that the shortened wavelength of this higher frequency band results in a great difference of channel characteristics. Therefore, our measurement results provide new gnidance for the design and development of the system working on 6. 0-6.4 GHz band. 展开更多
关键词 6. 0-6.4 GHz muhi-input multi-output (MIMO) channel measurement channel characteristics
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Carrier fringe method of moire interferometry for tiny strain measurements in micro-field 被引量:2
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作者 Yudong Cao Shibin Wang +1 位作者 Shuangxi Qi Jingwei Tong 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第1期101-106,共6页
In this paper, we demonstrate a new optical method for tiny strain measurements based on the principle of carrier fringes of moire interferometry. A cross-line grating with frequency of 1200 lp/mm is replicated on the... In this paper, we demonstrate a new optical method for tiny strain measurements based on the principle of carrier fringes of moire interferometry. A cross-line grating with frequency of 1200 lp/mm is replicated on the specimen surface, and the strain can be deduced from the changes in carrier fringes before and after the deformation of an object. Four coherent laser beams are used to obtain the carrier fringe patterns of field U and V. Both theoretical analysis and numerical simulation indicate that the ideal accuracy of strain can be controlled within a range of ±1με. Case study of a plane extension experiment shows that the measurement accuracy of strain can be controlled within the range of ±10με. The average strain values of every row of field U and every column of field V can be obtained by using this method, and approximated strain of every pixel in the whole-field can be further acquired, and thus it is possible to measure tiny strains occurred in a micro-field. The technology in this paper can provide comprehensive information for analyzing related mechanical content in the field of MEMS. 展开更多
关键词 Moire interferometry - Carrier fringe Micro-field Tiny strain. measured accuracy
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Measurement and simulation of the two-phase velocity correlation in sudden-expansion gas-particle flows 被引量:3
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作者 Li-Xing Zhou.Yang Liu.Yi Xu Department of Engineering Mechanics,Tsinghua University,100084 Beijing,China Marine Engineering College,Dalian Maritime University,116026 Dalian,China 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第4期494-501,共8页
In this paper the present authors measured the gas-particle two-phase velocity correlation in sudden expansion gas-particle flows with a phase Doppler particle anemometer (PDPA) and simulated the system behavior by ... In this paper the present authors measured the gas-particle two-phase velocity correlation in sudden expansion gas-particle flows with a phase Doppler particle anemometer (PDPA) and simulated the system behavior by using both a Reynolds-averaged Navier-Stokes (RANS) model and a large-eddy simulation (LES). The results of the measurements yield the axial and radial time-averaged velocities as well as the fluctuation velocities of gas and three particle-size groups (30μm, 50μm, and 95μm) and the gasparticle velocity correlation for 30μm and 50μm particles. From the measurements, theoretical analysis, and simulation, it is found that the two-phase velocity correlation of sudden-expansion flows, like that of jet flows, is less than the gas and particle Reynolds stresses. What distinguishes the two-phase velocity correlations of sudden-expansion flow from those of jet and channel flows is the absence of a clear relationship between the two-phase velocity correlation and particle size in sudden-expansion flows. The measurements, theoretical analysis, and numerical simulation all lead to the above-stated conclusions. Quantitatively, the results of the LES are better than those of the RANS model. 展开更多
关键词 PDPA measurement - Simulation Two-phasevelocity correlation Sudden expansion gas-particle flows
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A DERIVATIVE-HILBERT OPERATOR ACTING FROM LOGARITHMIC BLOCH SPACES TO BERGMAN SPACES
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作者 Shanli YE Yun XU 《Acta Mathematica Scientia》 SCIE CSCD 2024年第5期1916-1930,共15页
Letμbe a positive Borel measure on the interval[0,1).The Hankel matrix■with entriesμn,k=μn+k,whereμn=⨜[0,1)tndμ(t),induces,formally,the operator■where■is an analytic function in.We characterize the measuresμf... Letμbe a positive Borel measure on the interval[0,1).The Hankel matrix■with entriesμn,k=μn+k,whereμn=⨜[0,1)tndμ(t),induces,formally,the operator■where■is an analytic function in.We characterize the measuresμfor which■is bounded(resp.,compact)operator from the logarithmic Bloch space■into the Bergman space■,where 0≤α<∞,0<p<∞.We also characterize the measuresμfor which■is bounded(resp.,compact)operator from the logarithmic Bloch space■into the classical Bloch space■. 展开更多
关键词 derivative-Hilbert operator logarithmic Bloch space carleson measure
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TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE
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作者 Lixia FENG Yan LI +1 位作者 Zhiyu WANG Liankuo ZHAO 《Acta Mathematica Scientia》 SCIE CSCD 2024年第5期1707-1720,共14页
In this paper,by characterizing Carleson measures,we investigate a class of bounded Toeplitz operator between weighted Bergman spaces with Békolléweights over the half-plane for all index choices.
关键词 weighted Bergman spaces Békolléweights carleson measure Toeplitz operators
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SOME QUESTIONS REGARDING VERIFICATION OF CARLESON MEASURES
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作者 Fangwen DENG Caiheng OUYANG Ru PENG 《Acta Mathematica Scientia》 SCIE CSCD 2021年第6期2136-2148,共13页
In this paper,we give a survey of some recent progress in terms of verifying Carleson measures;this includes the difference between two definitions of a Carleson measure,the Bergman tree condition,the T1 condition for... In this paper,we give a survey of some recent progress in terms of verifying Carleson measures;this includes the difference between two definitions of a Carleson measure,the Bergman tree condition,the T1 condition for Besov-Sobolev spaces on a complex ball,vector-valued Carleson measures,Carleson measures in strongly pseudoconvex domains and reverse Carleson measures. 展开更多
关键词 carleson measures Besov-Sobolev spaces Hardy spaces Bergman spaces
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3-Dimensional Body Measurement Technology
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作者 周旭东 李艳梅 《Journal of Donghua University(English Edition)》 EI CAS 2002年第4期138-140,共3页
3 - dimensional body measurement technology, the basis of developing high technology in industry, accelerates digital development of aplparel industry. This paper briefly introduces the history of 3 - dimensional body... 3 - dimensional body measurement technology, the basis of developing high technology in industry, accelerates digital development of aplparel industry. This paper briefly introduces the history of 3 - dimensional body measurement technology, and recounts the principle and primary structure of some types of 3 - dimensional automatic body measurement system. With this understanding, it discusses prospect of 3- dimensional CAD and virtual technology used in apparel industry. 展开更多
关键词 3 - DIMENSIONAL BODY measurement technology digital apparel industry quick response virtual fitting apparel NAD
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Fundamental Properties and Optimal Gains of a Steady-State Velocity Measured <i>α</i>-<i>β</i>Tracking Filter
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作者 Kenshi Saho 《Advances in Remote Sensing》 2014年第2期61-76,共16页
This paper clarifies the steady-state properties and performance of an α-β filter for moving target tracking using both position and velocity measurements. We call this filter velocity measured α-β (VM-α-β) filt... This paper clarifies the steady-state properties and performance of an α-β filter for moving target tracking using both position and velocity measurements. We call this filter velocity measured α-β (VM-α-β) filter. We first derive the stability condition and steady-state predicted errors as fundamental properties of the VM-α-β filter. The optimal gains for representative motion models are then derived from the Kalman filter equations. Theoretical and numerical analyses verify that VM-α-β filters with these optimal gains realize more accurate tracking than conventional α-β filters when the filter gains are relatively large. Our study reveals the conditions under which the predicted errors of the VM-α-β filters are less than those of conventional α-β filters. Moreover, numerical simulations clarify that the variance of the tracking error of the VM-α-β filters is approximately 3/4 of that of the conventional α-β filters in realistic situations, even when the accuracy of the position/velocity measurements is the same. 展开更多
关键词 α-β FILTER Moving Target Tracking VELOCITY measurement KALMAN FILTER OPTIMAL Gain
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Test of Normality of Waist Measurement Data of Young Male and Female Adults based on the Quantile - Quantile Plot
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作者 F. Z. Okwonu J. N. Igabari 《Journal of Statistical Science and Application》 2017年第3期118-126,共9页
This paper investigates the normality of some real data set obtained from waist measurements of a group of 49 young adults. The quantile - quantile (Q-Q) plot and the analysis of correlation coefficients for the Q-Q... This paper investigates the normality of some real data set obtained from waist measurements of a group of 49 young adults. The quantile - quantile (Q-Q) plot and the analysis of correlation coefficients for the Q-Q plot is used to determine the normality or otherwise of the data set. In this regards, the probabilities of the quantiles were computed, modified and plotted. Thereafter the correlation coefficients for the quantile - quantile plots were obtained. Results indicate that at 0.1 level of significance, the data for young adult males of the sample were not normally distributed, and had a mean value that is within the range of low risk, healthwise, whereas the distribution of the data for young female adults showed reasonable normality, but also with a mean value that is within the range of low risk in terms of health condition. 展开更多
关键词 Correlation coefficient probability plot quantile - quantile plot test of normality waist measurement young adults.
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Besov型空间上的Carleson测度不等式
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作者 左宁 乌兰哈斯 《汕头大学学报(自然科学版)》 2024年第2期3-10,F0002,共9页
本文给出了Besov空间B_(p)和对角Besov空间B_(p.n)上具有导数形式的Carleson测度不等式.同时,我们也指出相关结果对p=∞的情形并不成立.
关键词 BLOCH空间 BESOV空间 对角Besov空间 carleson测度
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A Steady-State Errors Correction Method for Eliminating Measurement Errors
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作者 田新良 杨苹 《Journal of Donghua University(English Edition)》 EI CAS 2013年第4期298-304,共7页
This paper proposes a steady-state errors correction(SSEC)method for eliminating measurement errors.This method is based on the detections of error signal E(s)and output C(s)which generate an expected output R(s).In c... This paper proposes a steady-state errors correction(SSEC)method for eliminating measurement errors.This method is based on the detections of error signal E(s)and output C(s)which generate an expected output R(s).In comparison with the conventional solutions which are based on detecting the expected output R(s)and output C(s)to obtain error signal E(s),the measurement errors are eliminated even the error might be at a significant level.Moreover,it is possible that the individual debugging by regulating the coefficient K for every member of the multiple objectives achieves the optimization of the open loop gain.Therefore,this simple method can be applied to the weak coupling and multiple objectives system,which is usually controlled by complex controller.The principle of eliminating measurement errors is derived analytically,and the advantages comparing with the conventional solutions are depicted.Based on the SSEC method analysis,an application of this method for an active power filter(APF)is investigated and the effectiveness and viability of the scheme are demonstrated through the simulation and experimental verifications. 展开更多
关键词 measurement errors steady-state errors correction (SSEC) active power filters (APF)CLC number:TM77Document code:AArticle ID:1672-5220(2013)04-0298-07
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加权Orlicz-bergman类上Carleson测度 被引量:1
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作者 孙志玲 孙燕 《湖北民族学院学报(自然科学版)》 CAS 2014年第2期140-143,共4页
在加权Orlicz-bergman类上用φ-函数的模定义了Carleson测度,给出复平面的开单位圆盘D上正Borel测度为Lφa(dAα)上的Carleson测度和vanishing Carleson测度的充分必要条件.
关键词 加权Orlicz-bergman类 carleson测度 vanishing carleson 测度
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消失Bergman-Carleson测度和小Bloch空间的特征(英文)
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作者 杨微生 《数学进展》 CSCD 北大核心 1997年第6期529-536,共8页
本文给出了消失Bergman-Carleson测度的一个特征,证明了:当f∈H(B),0<p<∞时,f∈B0等价于lim|z|→1|Δf(z)|=0,等价于lim|a|→1∫B|Δf(z)|pJRφa(z)dv(z)... 本文给出了消失Bergman-Carleson测度的一个特征,证明了:当f∈H(B),0<p<∞时,f∈B0等价于lim|z|→1|Δf(z)|=0,等价于lim|a|→1∫B|Δf(z)|pJRφa(z)dv(z)=0,等价于Δf(z)|pdv(z)是消失Bergman-Carleson测度. 展开更多
关键词 不变梯度 小Bloch空间 消失B-C测度
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