检索结果-南通市图书馆

Trace Class Toeplitz Operators with Unbounded Symbols on Weighted Bergman Spaces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2010年第8期26卷 1567-1574页

作者： Sui HUANG guang fu cao Departement of Mathematics Guangzhou University Guangzhou 510006 P. R. China

In this note we construct a function φ in L2（Bn,dμ） which is unbounded on any neighborhood of each boundary point of Bn such that Tφ is a trace class operator on weighted Bergman space Lα2（Bn,dμ） for several ... 详细信息

关键词： Toeplitz operator unbounded function compact operator

The Role of BMOA in the Boundedness of Weighted Composition Operators on the Unit Ball

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2014年第2期30卷 323-330页

作者： Chao ZHANG guang fu cao College of Mathematics and Information Sciences Guangzhou University

We study the weighted composition operators Wh,on Hardy space H2（B） whenever h ∈ BMOA（resp.h ∈ VMOA）.Analogous results are given for Hp（B） spaces and the scale of weighted Bergman *** the latter case,BMOA is... 详细信息

关键词： Weighted composition operator boundedness compactness BMOA VMOA

Toeplitz Operators with BMO Symbols of Several Complex Variables

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2012年第3期28卷 599-608页

作者： Zhong Hua HE guang fu cao School of Mathematics and Information Sciences Guangzhou University

In this note we prove that the boundedness and compactness of the Toeplitz operator on the Bergman space L2a （Bn） for several complex variables with a BMO1 symbol is completely determined by the boundary behavior of... 详细信息

关键词： Toeplitz operator Bergman space Berezin transform

Wandering Subspaces and Quasi-wandering Subspaces in the Hardy-Sobolev Spaces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2017年第12期33卷 1684-1692页

作者： Jie Sheng XIAO guang fu cao Nanhu College Jiaxing University Department of Mathematics South China Apicultural University

In this paper, we prove that for -1/2≤β≤0, suppose M is an invariant subspaces of the Hardy Sobolev spaces Hβ^2（D） for Tz^β, then M zM is a generating wandering subspace of M, that is, M = [M zM]Tz^β. Moreover, any non-trivial invariant subspace M of Hβ^2（D） is also generated by the quasi-wandering subspace PMTz^βM^⊥, that is, M = [PMTz^βM^⊥]Tz^β.

关键词： Hardy-Sobolev space invariant subspace wandering subspace quasi-wandering sub- space Beurling type theorem

Operators on Differential Form Spaces for Riemann Surfaces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2007年第5期23卷 925-934页

作者： guang fu cao Xiao Feng WANG Department of Mathematics Guangzhou University Guangzhou 510405 P. R. China

In the present paper, a problem of Ioana Mihaila is negatively answered on the invertibility of composition operators on Riemann surfaces, and it is proved that the composition operator Cp is Predholm if and only if it is invertible if and only if p is invertible for some special cases. In addition, the Toeplitz operators on ∧1 2, a（M） for Riemann surface M are defined and some properties of these operators are discussed.

关键词： Riemann surface Composition operator Toeplitz operator

Weighted Composition Operators between Bergman Spaces with Exponential Weights

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2022年第12期38卷 2231-2252页

作者： guang fu cao Li HE Yi Yuan ZHANG School of Mathematics and Information Science Guangzhou UniversityGuangzhou 510006P.R.China

In this paper,we study some properties of weighted composition operators on a class of weighted Bergman spaces Ap with O 详细信息

In this paper,we study some properties of weighted composition operators on a class of weighted Bergman spaces Ap with Ofunction and the generalized Berezin transform with 0

关键词： Weighted composition operator boundedness compactness Schatten class Bergman spaces

同方期刊数据库

K-groups of Toeplitz algebras on connected domains

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2007年第1期50卷 73-80页

作者： guang-fu cao Xiao-hong WANG School of Mathematics and Information Sciences Guangzhou UniversityGuangzhou 510006China Department of Mathematics Sichuan UniversityChengdu 610064China

In the present paper, it is proved that the K0-group of a Toeplitz algebra on any connected domain is always isomorphic to the K0-group of the relative continuous function algebra. In addition, the cohomotopy groups of essential boundaries of some connected domains are computed, and the K0-groups of the continuous function algebras on these domains are also computed.

关键词： essential boundary cohomotopy group K-group 46L80 47B35

Schatten p-Class Toeplitz Operators with Unbounded Symbols on Pluriharmonic Bergman Space

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2013年第12期29卷 2355-2366页

作者： Xiao Feng WANG Jin XIA guang fu cao School of Mathematics and Information Science Key Laboratory of Mathematics and Interdisciplinary Sciences of GuangdongHigher Education Institutes Guangzhou University

In this paper, we construct the function u in L2（Bn, dA） which is unbounded on any neighborhood of each boundary point of Bn such that Tu is the Schatten p-class （0 〈 p 〈 ∞） operator on pluriharmonic Bergman space h2（Bn, dA） for several complex variables. In addition, we also discuss the compactness of Toeplitz operators with L1 symbols.

关键词： Toeplitz operators unbounded functions Schatten p-class operators

Hardy-Orlicz Spaces and Their Multiplication Operators

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2005年第3期21卷 593-598页

作者： Qun LU guang fu cao Li Fang LIU Department of Mathematics Sichuan University Chengdu 610064 P. R. China Department of Mathematics Xiamen University Xiamen 361005 P. R. China

In this paper some formulae on the relationship between Hardy and Hardy Orlicz spaces are presented, and multiplication operators on Hardy-Orlicz spaces are discussed.

关键词： φ-function Nevalinna class and class N' Hardy-Orlicz space Condition △2 Multiplication operator