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Applied Mathematics and Computation, 2010 Let ψ be a holomorphic mapping on the upper half-plane Π {z ∈ C : Jz > 0} and ϕ be a holomorphic self-map of Π . We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-
Stevo Stevic
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WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
Journal of the London Mathematical Society, 2004This paper is concerned with the study of weighted composition operators on the Bergman space \(L_a^2\) of all functions holomorphic in the unit disk \(D\) for which \(\| f\| _2^2=\int_D| f(z)| ^2dA(z)
Čučković, Željko, Zhao, Ruhan
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Carleson Measures on the Weighted Bergman Spaces with Békollé Weights
Chinese Annals of Mathematics, Series B, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tong, Cezhong, Li, Junfeng
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Hankel Operators on Weighted Bergman Spaces
American Journal of Mathematics, 1988The authors study Hankel operators on weighted Bergman spaces and establishes the connection between an analytic function f and the Hankel operator generated by f on certain weighted Bergman spaces consisting of analytic functions on the unit disk \(\Delta\). Contents. Introduction. 1. Background. 2. General properties of Hankel operators. 3.
Arazy, J., Fisher, S. D., Peetre, J.
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2013
In this paper we study weighted Bergman spaces, through Green function and Mobius transformations, and its relationship and remarkable differences with the F(p, q, s) Zhao spaces and so with other classical weighted function spaces.
L. Luís Javier Carmona +2 more
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In this paper we study weighted Bergman spaces, through Green function and Mobius transformations, and its relationship and remarkable differences with the F(p, q, s) Zhao spaces and so with other classical weighted function spaces.
L. Luís Javier Carmona +2 more
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Intersections and Unions of Weighted Bergman Spaces
Computational Methods and Function Theory, 2006The authors compare unions and intersections of the following spaces of analytic functions in the open unit disk, previously studied by \textit{R. Zhao} [Ann. Acad. Sci. Fenn. Diss. 105, 1--56(1996; Zbl 0851.30017)]: \[ F (p, q, s) = \biggl\{f \in H(D) : \sup\, {a\in D}\int_{D} | f'(z) |^{p}(1- | z|^{2})^{q}g^{s}(z,a) \,d A(z)< \infty\biggr\}, \] where
Korhonen, Risto, Rättyä, Jouni
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Angle operators on weighted Bergman spaces
Journal of Mathematical Physics, 2002Among the multiplication operators on weighted Bergman Hilbert spaces are those where the multiplying function (operator symbol) depends only on the angular polar coordinate in the unit disk: we call these “angle operators.” As these Hilbert spaces carry a CCR representation unitarily equivalent to the Schrödinger representation, angle operators are ...
Dubin, D. A., Hennings, M. A.
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Bicomplex Weighted Bergman Spaces and Composition Operators
Advances in Applied Clifford Algebras, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stanzin Dolkar, Sanjay Kumar
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Weighted Bergman Spaces Associated with the Hyperbolic Group
Complex Analysis and Operator Theory, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Armando Sánchez-Nungaray +2 more
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2020
The intention of this article is to describe a particular example; it is a simple example, but I hope it is sufficiently appealing to induce the reader to think about the questions it raises. The reader is warned that this is not a research article, but rather an illustrative one.
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The intention of this article is to describe a particular example; it is a simple example, but I hope it is sufficiently appealing to induce the reader to think about the questions it raises. The reader is warned that this is not a research article, but rather an illustrative one.
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