Results 171 to 180 of about 27,605 (206)

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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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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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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Weighted Bergman spaces¶associated with causal symmetric spaces

manuscripta mathematica, 1999
Let \(X=H\backslash G\) be an irreducible symmetric space, \({\mathbf g}={\mathbf h}+{\mathbf q}\) the corresponding decomposition of the Lie algebra \({\mathbf g}\) of \(G\), and \({\mathbf g}={\mathbf k}+{\mathbf p}\) a compatible Cartan decomposition.
Hilgert, Joachim, Krötz, Bernhard
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Bergman spaces with exponential weights

Journal of Functional Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Zhangjian, Lv, Xiaofen, Schuster, Alexander P.   +2 more
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Weighted Composition Operators between Bergman Spaces with Exponential Weights

Acta Mathematica Sinica, English Series, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Guang Fu, He, Li, Zhang, Yi Yuan
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Hadamard–Bergman Operators on Weighted Spaces

Complex Analysis and Operator Theory
The purpose of the authors is to provide a generalization of the definition of the Hadamard-Bergman operator to the case of an arbitrary Radon measure as well as the study of such general operators in weighted spaces. Furthermore, they give meaningful examples including the integrodifferentiation operator of variable order and certain Volterra type ...
Karapetyants, Alexey, Mirotin, Adolf, Morales, Evelin   +2 more
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The Weighted Bergman Spaces

2000
In this section we study some basic tools of analysis such as integration in various versions of polar coordinates and certain fundamental functions which appear in all later investigations.
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On generalized weighted bergman spaces

Complex Variables, Theory and Application: An International Journal, 2004
The generalized weighted Bergman space (w is a modulus function) on the unit disk U, and the composition operators acting on this space are studied. Among other things, criteria for continuity and compactness are presented.
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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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