Results 201 to 210 of about 1,404 (243)

WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE

Journal of the London Mathematical Society, 2004
This 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, 2021
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Tong, Cezhong, Li, Junfeng
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Hankel Operators on Weighted Bergman Spaces

American Journal of Mathematics, 1988
The 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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Weighted Bergman Spaces

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, Lino Feliciano Reséndis Ocampo, Luis Manuel Tovar Sánchez   +2 more
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Isometries of Weighted Bergman Spaces

Canadian Journal of Mathematics, 1982
In [2], [8] and [10], Forelli, Rudin and Schneider described the isometries of the Hp spaces over balls and polydiscs. Koranyi and Vagi [6] noted that their methods could be used to describe the isometries of the Hp spaces over bounded symmetric domains.
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Intersections and Unions of Weighted Bergman Spaces

Computational Methods and Function Theory, 2006
The 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, 2002
Among 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, 2023
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Stanzin Dolkar, Sanjay Kumar
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Weighted Bergman Spaces Associated with the Hyperbolic Group

Complex Analysis and Operator Theory, 2022
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Armando Sánchez-Nungaray, Miguel Antonio Morales-Ramos, María del Rosario Ramírez-Mora   +2 more
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Weighted Bergman Spaces

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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