MAXIMAL FUNCTION CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BOTH NON-NEGATIVE SELF-ADJOINT OPERATORS SATISFYING GAUSSIAN ESTIMATES AND BALL QUASI-BANACH FUNCTION SPACES

Assume that L is a non-negative self-adjoint operator on L^(2)(ℝ^(n))with its heat kernels satisfying the so-called Gaussian upper bound estimate and that X is a ball quasi-Banach function space onℝ^(n) satisfying some mild assumptions.Let HX,L(ℝ^(n))be the Hardy space associated with both X and L,which is defined by the Lusin area function related to the semigroup generated by L.In this article,the authors establish various maximal function characterizations of the Hardy space HX,L(ℝ^(n))and then apply these characterizations to obtain the solvability of the related Cauchy problem.These results have a wide range of generality and,in particular,the specific spaces X to which these results can be applied include the weighted space,the variable space,the mixed-norm space,the Orlicz space,the Orlicz-slice space,and the Morrey space.Moreover,the obtained maximal function characterizations of the mixed-norm Hardy space,the Orlicz-slice Hardy space,and the Morrey-Hardy space associated with L are completely new.

Almost Fixed Points and Fixed Points of Upper [Lower] Semicontinuous Multimap on Locally G-convex Spaces

In this paper, we use the well known KKM type theorem for generalized convex spaces due to Park （Elements of the KKM theory for generalized convex spaces, Korean J. Comp. Appl. Math., 7（2000）, 1-28） to obtain an almost fixed point theorem for upper [resp., lower] semicontinuous multimaps in locally G-convex spaces, and then give a fixed point theorem for upper semicontinuous multimap with closed Γ-convex values.

THE PRECISE NORM OF A CLASS OF FORELLI-RUDIN TYPE OPERATORS ON THE SIEGEL UPPER HALF SPACE

The precise L^(p) norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper.The main result not only implies the upper L^(p) norm estimate of the Bergman projection,but also implies the precise L^(p) norm of the Berezin transform.

Some Results of Upper and Lower <i>M</i>-Asymmetric Irresolute Multifunctions in Bitopological Spaces

In this paper, we aim to introduce and study some basic properties of upper and lower M-asymmetric irresolute multifunctions defined between asymmetric sets in the realm of bitopological spaces with certain minimal structures as a generalization of irresolute functions deal to Crossley and Hildebrand [1] and upper and lower irresolute Multifunctions deal to Popa [2].

Some Characterizations of Upper and Lower M-Asymmetric Preirresolute Multifunctions

In this present paper, we introduce and investigate a new form of mappings namely;upper and lower M-asymmetric preirresolute multifunctions defined between M-structural asymmetric topological spaces. The relationships between the multifunctions in our sense and other types of precountinuous and preirresolute multifunctions defined on both symmetric and asymmetric topological structures are discussed.

FT-粗糙集模型的一些性质

T-粗糙集是Pawlak粗糙集理论发展过程中的一个重要模型,已成功应用于数据挖掘等诸多领域.FT-粗糙集模型能够在保持数据的完整性下处理连续型数据,是对仅能处理离散型数据的T-粗糙集模型上的发展.文章引入模糊近似空间(X,Y,T)一对模糊集的弱逆和强逆定义,用量化方法研究FT-粗糙集的一些性质,得到模糊技能映射在析取模型、合取模型下分别生成的知识结构;用量化方法与矩阵表示探究FT-粗糙集模糊集值映射在并、交运算下的性质.

实现“人机共存”的上层空间紫外辐照系统的应用及研究进展

目前预防空气中病原体传播的重要性日益凸显,寻求有效的空气消杀技术变得至关重要。上层空间紫外辐照技术作为一种高效、经济且满足“人机共存”的空气消杀解决方案,已应用于针对预防结核传播中。随着固态紫外光源的发展,新型上层空间紫外辐照系统相较于传统系统,在光源升级、光束整形、结构设计等方面均有提升。光束整形的优化可使紫外线更精准地照射目标区域,提高消毒效果。本文综述了上层紫外线辐照系统的技术原理、研发现状、应用领域,并对未来发展趋势进行了展望。

基于CPM的多模式资源约束项目调度建模与复杂度分析

为有效降低多模式资源约束项目调度模型的复杂度和解空间,构建3类混合整数线性规划模型。运用紧上界TTUB缩减时间序列T的上界和关键路径法缩减各项活动结束时间的上下界,以降低模型复杂度和解空间。为验证改进模型的有效性,从MRCPSP标杆案例库中选取1106组规模不等的算例进行求解。结果表明,基于CPM的多模式资源约束项目调度模型解空间更小;决策变量同比缩小3~65倍,约束数同比缩小1~4倍;平均求解时间同比减少53%~112%,求解性能显著优于其他模型。为验证紧上界T_(TUB)的参数α性能,1106组算例结果表明,α越接近1,模型的复杂度越低,解空间越小。但随着算例规模增加,算例可行解探寻难度增加。因此,对大规模算例,α值应适当放宽。

间隔装药的殉爆起爆技术在露天矿山爆破中的应用

为了降低西沟露天石料厂的采石爆破成本,提高经济效益;应用空气袋间隔装药装置技术进行了150 mm炮孔和100 mm炮孔的爆破实验对比,同时进行了露天炮孔孔内反向和正向起爆殉爆试验对比。结果表明:采用炮孔中部空气袋间隔装置的露天矿台阶爆破,电子雷管起爆一端装药之后再利用其爆轰波殉爆起爆另一端装药,孔径大的炮孔比孔径小的炮孔殉爆起爆的爆破效果好;采用殉爆起爆技术后,做到了节能减排和提效;反向起爆爆破法与正向起爆爆破法相比,爆破效果更好。

五自由度上肢康复机器人设计与分析

针对由脑卒中、脊髓损伤等造成的上肢运动功能减退、需康复的问题,设计了一款基于人体上肢尺寸的可穿戴式五自由度上肢康复机器人。使用改进的D-H参数法,建立了其运动学模型,结合数字仿真软件的机器人工具箱,验证了其模型的正确性;利用蒙特卡罗法得到机器人的工作空间云图,通过与各关节运动范围进行对比,验证了其工作范围的合理性。最后运用五次多项式插值法对其进行轨迹规划,获得了各个关节角的角度、速度、加速度的平稳曲线图。实验结果验证了上肢康复机器人结构设计的正确性和整个康复训练过程的可行性。

国土空间规划体系下三明市建宁县的多级规划联编研究

新时期国土空间规划体系下,为了进一步提高规划编制效率、节省编制经费,全国各地陆续开展了不同等级、不同区域的规划联编工作。三明市建宁县作为闽赣两省交界的山区县,资源禀赋和地理特征在福建省内具有较强的代表性。同时,作为人口小县,社会经济发展水平和政府财力较沿海发达地区相比也较为有限,具有很强的联编现实需求。基于近年来建宁县在县、镇、村三级规划联编上创新性的实践,探索多级规划联编及上下传导的相关经验,为福建省乃至全国其他地区提供相关的理论支撑和经验借鉴。

Some Estimates for Commutators of Fractional Integrals Associated to Operators with Gaussian Kernel Bounds on Weighted Morrey Spaces

Let L be the infinitesimal generator of an analytic semigroup on L^2 （R^n） with Gaussian kernel bound, and let L^-α/2 be the fractional integrals of L for 0 〈 α 〈 n. In this paper, we will obtain some boundedness properties of commutators [b, L^-α/2] on weighted Morrey spaces L^p,k（w） when the symbol b belongs to BMO（Rn） or the homogeneous Lipschitz space.

Progress in polar upper atmospheric physics research in China

The Chinese Antarctic Great Wall, Zhongshan, Kunlun and Arctic Yellow River stations have unique geographical locations, well suited to carry out polar upper atmospheric observations. This paper reviews the tremendous history of nearly 30 years of Chinese polar expeditions and major progress in polar upper atmospheric physics research. This includes the polar upper atmospheric physics conjugate observation system at Zhongshan Station in the Antarctic and Yellow River Station in the Arctic, and original research achievements in polar ionospheric fields, aurora and particle precipitation, the polar current system, polar plasma convection, geomagnetic pulsations and space plasma waves, inter-hemispheric comparisons of the space environment, space weather in polar regions, power spectrum of the incoherent scatter radar, ionospheric heating experiments and polar meso- spheric summer echoes, polar ionosphere-magnetosphere numerical simulation and others. Finally, prospects for Chinese polar upper atmospheric physics research are outlined.

MONOTONICITY IN ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM

In Orlicz-Lorentz sequence space Aψ,w with the Orlicz norm, uniform monotonic- ity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in Aψ,w are discussed.

The rough representation and measurement of quotient structure in algebraic quotient space model

Granular computing is a very hot research field in recent years. In our previous work an algebraic quotient space model was proposed,where the quotient structure could not be deduced if the granulation was based on an equivalence relation. In this paper,definitions were given and formulas of the lower quotient congruence and upper quotient congruence were calculated to roughly represent the quotient structure. Then the accuracy and roughness were defined to measure the quotient structure in quantification. Finally,a numerical example was given to demonstrate that the rough representation and measuring methods are efficient and applicable. The work has greatly enriched the algebraic quotient space model and granular computing theory.

Recent progress in Chinese polar upper-atmospheric physics research: review of research advances supported by the Chinese Arctic and Antarctic expeditions

It has been more than 30 years since the first Chinese Antarctic Expedition took place. Polar upper atmospheric observations started at this time. First began at Great Wall Station and then at Zhongshan Station in Antarctica, and later in the Arctic at Yellow River Station, Kjell Henriksen Observatory on Svalbard, and at the China-Iceland Joint Aurora Observatory in Iceland. In this paper, we reviewed the advances in polar upper atmosphere physics （UAP） based on the Chinese national Arctic and Antarctic research over the last five years. These included newly deployed observatories and research instruments in the Arctic and Antarctic; and new research findings, from grotmd-based observations, about polar ionosphere dynamics, aurora and particle precipitation, polar plasma convection, geomagnetic pulsations and space plasma waves, space weather in the polar regions, simulations of the polar ionosphere-magnetosphere. In conclusion, suggestions were made for future polar upper atmosphere physics research in China.

MONOTONE POINTS IN ORLICZ-BOCHNER SEQUENCE SPACES

In Orlicz-Bochner sequence spaces endowed with Orlicz norm and Luxemburg norm, points of lower monotonicity, upper monotonicity, lower local uniform monotonicity and upper local uniform monotonicity are characterized.

Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space

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REGULARITY OF P-HARMONIC MAPPINGS INTO NPC SPACES

Let M be a C^(2)-smooth Riemannian manifold with boundary and X be a metric space with non-positive curvature in the sense of Alexandrov.Let u:M→X be a Sobolev mapping in the sense of Korevaar and Schoen.In this short note,we introduce a notion of p-energy for u which is slightly different from the original definition of Korevaar and Schoen.We show that each minimizing p-harmonic mapping(p≥2)associated to our notion of p-energy is locally Holder continuous whenever its image lies in a compact subset of X.

Space-time spreading and space-time coding for correlated frequency-selective channel in the presence of interference

The space-time spreading(STS),superimposed training sequences and space-time coding(STC)are adopted to obtain a closed-form of average error probability upper bound and maximum likelihood esti-mation expression for multiple input and multiple output(MIMO)correlated frequency-selective channelin the presence of interference(colored interference).Moreover,the correlation at both ends of the wire-less link that can be incorporated equivalently into correlation at the transmit end is derived.Finally,themean square error(MSE)of the maximum likelihood estimate is also derived.