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toeplitz operator Related to Singular Integral with Non-Smooth Kernel on Weighted Morrey Space

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Analysis in Theory and Applications 2017年第3期33卷 240-252页

作者： Yuexiang He Department of Mathematics Jiaozuo UniversityJiaozuoHenan 454003China

Let T1 be a singular integral with non-smooth kernel or ±I, let T2 and T4 be the linear operators and let T3 = ± I. Denote the toeplitz type operator by Tb = T1M^b Ia T2 ＋ T3IaMbT4,where M^bf = bf, and Ib is the fractional integral operator. In this paper, we investigate the boundedness of the operator Tb on the weighted Morrey space when b belongs to the weighted BMO space.

关键词： toeplitz operator non-smooth kernel weighted BMO fractional integral weighted Morrey space.

Products of toeplitz operator on the Weighted Bergman Space of the Unit Ball

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Journal of Mathematical Research with Applications 2012年第4期32卷 439-449页

作者： Kan ZHANG 1,2,Yufeng LU 1, 1.School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China 2.College of Sciences,Shenyang Agricultural University,Liaoning 110866,P.R.China School of Mathematical Sciences Dalian University of Technology Liaoning 116024

We consider the question for what kind of square integrable holomorphic functions f,g on the unit ball the densely defined products TfTg-are invertible and Fredholm on the weighted Bergman space of the unit *** furthermore obtain necessary and sufficient conditions for bounded Haplitz products HfTg-,where f∈L2(Bn,dvα) and g is a square integrable holomorphic function.

关键词： toeplitz operator Bergman space unit ball Hankel operator.

toeplitz operatorS WITH POSITIVE operator-VALUED SYMBOLS ON VECTOR-VALUED GENERALIZED FOCK SPACES

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Acta Mathematica Scientia 2020年第3期40卷 625-640页

作者： Jianjun CHEN Xiaofeng WANG Jin XIA School of Mathematics and Statistics Zhaoqing UniversityZhaoqing 526061China School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute Guangzhou UniversityGuangzhou 510006China

In this article,we study some characterizations of toeplitz operators with positive operator-valued function as symbols on the vector-valued generalized Bargmann-Fock spaces Fψ^*** results including Fock-Carleson condition,bounded toeplitz operators,compact toeplitz operators,and toeplitz operators in the Schatten-p class are all considered.

关键词： toeplitz operator operator-valued symbol generalized Fock space

toeplitz operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights

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Acta Mathematica Sinica,English Series 2024年第5期40卷 1345-1359页

作者： Jun Tao DU Song Xiao Hasi WULAN Department of Mathematics Guangdong University of Petrochemical TechnologyMaoming 525000P.R.China Department of Mathematics Shantou UniversityShantou 515063P.R.China

In this paper,we give a universal description of the boundedness and compactness of toeplitz operator T_(μ)^(ω)between Bergman spaces A_(η)^(p)and A_(υ)^(q)whenμis a positive Borel measure,1 详细信息

In this paper,we give a universal description of the boundedness and compactness of toeplitz operator T_(μ)^(ω)between Bergman spaces A_(η)^(p)and A_(υ)^(q)whenμis a positive Borel measure,1

关键词： Bergman space Carleson measure toeplitz operator regular weight

Reducing Subspaces of toeplitz operators Induced by a Class of Non-analytic Monomials over the Unit Ball

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Acta Mathematica Sinica,English Series 2024年第7期40卷 1767-1777页

作者： Yan Yue SHI Bo ZHANG Xu TANG Yu Feng LU School of Mathematical Sciences Ocean University of ChinaQingdao 266100P.R.China School of Mathematics and Information Sciences Yantai UniversityYantai 264005P.R.China School of Mathematical Sciences Space Engineering UniversityBeijing 101416P.R.China School of Mathematical Sciences Dalian University of TechnologyDalian 116024P.R.China

In this paper,we describe the minimal reducing subspaces of toeplitz operators induced by non-analytic monomials on the weighted Bergman spaces and Dirichlet spaces over the unit ball B_(2).It is proved that each minimal reducing subspace M is finite dimensional,and if dim M≥3,then M is induced by a ***,the structure of commutant algebra v(T_(w)N_(z)N):={M^(*)_(w)NM_(z)N,M^(*)_(z)NM_(w)N}′is determined by N and the two dimensional minimal reducing subspaces of(T_(w)N_(z)*** also give some interesting examples.

关键词： Reducing subspace operator-weighted shifts toeplitz operator von Neumann algebra

A Class of m-Complex Symmetric operators on Hardy Space

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Journal of Mathematical Research with Applications 2024年第1期44卷 63-80页

作者： Jia FU Xinmei LI Ran LI School of Mathematics Liaoning Normal University

In this paper,we study the necessary and sufficient condition that the toeplitz operators with respect to the conjugations of one permutation are 2-complex ***,we introduce a class of conjugations called the conjugations of one permutations on the classical Hardy ***,toeplitz operators are completely characterized as 2-complex symmetric structure under this class of *** matrix representation of toeplitz operators in the classical regular orthogonal basis on Hardy space is used to describe this class of 2-complex symmetric toeplitz ***,we add two preconditions fn=-f-nand fn=f-nrespectively to the toeplitz operators,and we get more simplified *** the second condition,we study the 3-complex symmetry of toeplitz operators,and we get the same result for Tfis a 3-CSO with the conjugation C((i,j)) and 2-CSO’s.

关键词： m-complex symmetric operator toeplitz operator Hardy space

toeplitz operatorS ON HEISENBERG GROUP

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Acta Mathematica Scientia 2013年第6期33卷 1589-1597页

作者：谢佩珠曹广福 School of Mathematics and Information Science Guangzhou University Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes Guangzhou University

Denote by Ω the Siegel domain in Cn, n 〉 1. In this paper, we study the essential spectra of toeplitz operators defined on the Hardy space H2（а↓Ω）. In addition, the characteristic equation of analytic toeplitz ... 详细信息

关键词： toeplitz operator Hardy space Fredholm theory

toeplitz operators between distinct Bergman spaces

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Science China Mathematics 2022年第11期65卷 2325-2336页

作者： Siyu Wang Zipeng Wang School of Mathematics and Statistics Northeast Normal UniversityChangchun 130024China College of Mathematics and Statistics Chongqing UniversityChongqing 401331China

In this paper,we provide descriptions of the boundedness and compactness for the toeplitz operators T;between distinct weighted Bergman spaces L^(p)a(ω_(α))and L^(p)a(ω_(β))for 0 详细信息

In this paper,we provide descriptions of the boundedness and compactness for the toeplitz operators T;between distinct weighted Bergman spaces L^(p)a(ω_(α))and L^(p)a(ω_(β))for 0

关键词： toeplitz operator Carleson measures distinct Bergman spaces

toeplitz operators on Dirichlet Spaces

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Acta Mathematica Sinica,English Series 2001年第4期17卷 643-648页

作者： Yu Feng LU Shun Hua SUN Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China Department of Applied Mathematics Dalian University of Technology Dalian 116024 P. R. China Department of Mathematics Sichuan University Chengdu 610064 P. R. China

In this paper we study toeplitz operators on Dirichlet spaces and describe the boundedness and compactness of toeplitz operators on Dirichlet spaces. Meanwhile, we give density theorems for toeplitz operators on Diric... 详细信息

关键词： Dirichlet space toeplitz operator Compact operator Strong operator topology