共查询到19条相似文献,搜索用时 515 毫秒
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On bounded symmetric domain Ω of Cn.we investigate the properties of functions in weighted Bergman spaces Ap(Ω,dvs)for 0<P≤ ∞and-1<s< ∞.Based on the estimate of Bergman kernel,we obtain some characterizations of functions in Ap(Ω,dvs)in terms of a class of linear operators Dα,β.Making use of these characterizations,we extend Ap(Ω,dvs)to the weighted Bexgman spaces APα,β(Ω,dvs)in a very natural way for 1≤p≤ ∞ and any real number s,that is,-∞<s< ∞.This unified treatment covers some classical Bergman spaces,Besov spaces and Bloch spaces.Meanwhile,the boundedness of Bergman projection operators on Apα,β(Ω,dvs)and the dual of Apα,β,(Ω,dvs)are given. 相似文献
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In this paper,we study the compact operators on weighted Bergman spaces of the unit ball.Extending Miao and Zheng’result in 2004,we obtain the necessary and sufficient conditions for the operator to be compact on weighted Bergman spaces of the unit ball under some integrable conditions. 相似文献
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α-Bloch空间到H∞的加权复合算子 总被引:1,自引:0,他引:1
The article not only presents the boundedness and compactness of the weighted composition operator fromα-Bloch spaces(or littleα-Bloch spaces) to H~∞,but also gives some estimates for the norm of the weighted composition operator. 相似文献
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The boundedness and compactness of the weighted differentiation composition operators from mixed-norm spaces to Bloch-type spaces are discussed in this paper. 相似文献
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单位球上Hardy空间之间的加权复合算子 总被引:2,自引:0,他引:2
We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H1 to H1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces. 相似文献
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In the paper [Monotone countable paracompactness and maps to ordered topological vector spaces, Top. Appl., 2014, 169(3): 51–70], Yamazaki initiated the study on maps with values into ordered topological vector spaces. Characterizations of monotonically countably paracompact spaces and some other spaces in terms of maps to ordered topological vector spaces were obtained. In this paper, following Yamazaki's method, we present some characterizations of stratifiable spaces and k-semi-stratifiable spaces in terms of maps with values into ordered topological vector spaces. 相似文献
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Fibrewise topological spaces theory,presented in the recent 20 years,is a new branch of mathematics developed on the basis of General Topology,Algebra topology and Fibrewise spaces theory.It is associated with differential geometry,Lie groups and dynamical systems theory.From the perspective of Category theory,it is in the higher category of general topological space,so the discussion of new properties and characteristics of the variety of fibre topological space has more important significance.This paper introduces the process of the origin and development of Fibrewise topological spaces theory.Then,we study the main contents and important results in this branch.Finally,we review the research status of Fibrewise topological spaces theory and some important topics. 相似文献
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This paper discusses the special properties of the spectrum of linear operators (in particular, bounded linear operators) on quotient indecomposable Banach spaces; shows that in such spaces generators of Co-groups are always bounded linear operators, and that generators of Co-semigroups satisfy the spectral mapping theorem; and gives an example to show that the generators of Co-semigroups in quotient indecomposable spaces are not necessarily bounded. 相似文献
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YUE Xiu-kui 《数学季刊》2005,20(1):47-53
In this paper,we characterize the multipliers of generalized Bergman spaces Ap,q,αwith 0
0) in almost every case considered. The corollaries on multipliers of the spaces Ap,q,αextend some related results. 相似文献
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本文定义了几乎第二可数空间,几乎第一数可空间和几乎可分空间,它们分别是第二可数空间,第一可数空间和可分空间的一般化,还研究了这三类新空间以及几乎Lindel?f空间的性质,改进了[2]中的几个定理. 相似文献
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局部强紧空间的Hoare空间与Smyth空间 总被引:1,自引:0,他引:1
本文主要讨论局部强紧空间的性质,特别是其Hoare空间和Smyth空间的性质,证明了T_0空间为局部强紧空间的当且仅当其Hoare空间为局部强紧空间,局部强紧空间的Smyth空间为C-空间.对于强局部紧空间,我们有类似的结论. 相似文献
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The category LTS of limit tower spaces is defined and shown to be isomorphic to the category CAP of convergence approach spaces. The full subcategory of LTS determined by the objects satisfying a diagonal axiom due to Cook and Fischer is shown to be isomorphic to the category AP of approach spaces. A family of isomorphisms is also obtained between LTS and certain full subcategories of the category PCS of probabilistic convergence spaces. 相似文献
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关于弱MCP空间与弱层空间 总被引:1,自引:0,他引:1
本文引入了与已知的一些空间类非常类似的两个概念,我们分别称它们为弱MCP空间与弱层空间.本文主要讨论了这两空间类的等价命题与一些基本性质,及它们与原有空间类的关系. 相似文献
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In this paper we introduce a new topological-type of structured set called merotopological space. The appropriate morphisms are defined and characterizations of the corresponding initial and final structures are given. The resulting category contains as fully embedded subcategories not only the category of topological spaces and continuous maps but also the category of merotopic spaces and uniformly continuous maps, and, a fortiori, the category of nearness spaces and the category of uniform spaces. A functorial completion is constructed for merotopological spaces using bunches. A problem that has remained long open in the setting of nearness spaces is to find an internal characterization of the epireflective hull of the topological spaces. We solve the analogue of this problem in the setting of merotopological spaces. Applications to the Wyler prime closed filter compactification and to Taimanov's extension theorem are given. 相似文献
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