Results 11 to 20 of about 13,068 (205)
Generalized Weighted Composition Operators on Weighted Bergman Spaces [PDF]
Numerical Functional Analysis and Optimization, 2009 Summary: The boundedness, compactness, essential norm, Hilbert-Schmidt class and order boundedness of generalized weighted composition operators on weighted Bergman spaces are investigated in this paper. For Part I, see [\textit{X. Zhu}, Numer. Funct. Anal. Optim. 30, No. 7--8, 881--893 (2009; Zbl 1183.47030)].
Xiangling Zhu
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Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces [PDF]
Journal of Inequalities and Applications, 2009 Let φ be a holomorphic self-map and let ψ be a holomorphic function on the unit ball B. The boundedness and compactness of the weighted composition operator ψCφ from the generalized weighted Bergman space into a class of ...
Dinggui Gu
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Reproducing Kernels of Some Weighted Bergman Spaces [PDF]
The Journal of Geometric Analysis, 2021 Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergman kernel functions for specific weights and domains.
Guan-Tie Deng, Yun Huang, Tao Qian
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Hyponormality on a Weighted Bergman Space [PDF]
Journal of Function Spaces, 2020 A bounded Hilbert space operatorTis hyponormal ifT∗T−TT∗is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space. We find a necessary condition for hyponormality in the case of a symbol of the formf+g¯wherefandgare bounded analytic functions on the unit disk.
Houcine Sadraoui +3 more
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Hyponormal Toeplitz operators on weighted Bergman spaces [PDF]
Integral Transforms and Special Functions, 2021 We consider operators acting on a Hilbert space that can be written as the sum of a shift and a diagonal operator and determine when the operator is hyponormal. The condition is presented in terms of the norm of an explicit block Jacobi matrix. We apply this result to the Toeplitz operator with specific algebraic symbols acting on certain weighted ...
Le, Trieu, Simanek, Brian
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Journal of Inequalities and Applications, 2019 Closures of weighted Bergman spaces in Bloch type spaces are investigated in the paper. Moreover, the boundedness and compactness of the product of composition and differentiation operators from Bloch type spaces to closures of weighted Bergman spaces ...
Li-Xu Zhang
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Schatten class operators on exponential weighted Bergman spaces
Journal of Inequalities and Applications, 2023 In this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces.
Xiaofeng Wang, Jin Xia, Youqi Liu
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Dynamics of differentiation operators on generalized weighted Bergman spaces
Open Mathematics, 2014 The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous.
Zhang Liang, Zhou Ze-Hua
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ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin-Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on extremal problems in such Bergman ...
R. F. Shamoyan, S.P. Maksakov
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A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball
Abstract and Applied Analysis, 2008 This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces Aα2 on the unit ball in ℂn such that STzi=Tz¯iS (i=1,…,n), where Tzi=zif and Tz¯i=P(z¯if); and where P is the weighted Bergman projection, then S must be a ...
Yufeng Lu, Jun Yang
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