Results 171 to 180 of about 13,068 (205)
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Isometries of Weighted Bergman Spaces
Canadian Journal of Mathematics, 1982In [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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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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Weighted Bergman spaces¶associated with causal symmetric spaces
manuscripta mathematica, 1999Let \(X=H\backslash G\) 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, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Zhangjian +2 more
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Weighted Composition Operators between Bergman Spaces with Exponential Weights
Acta Mathematica Sinica, English Series, 2022zbMATH 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 TheoryThe 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 +2 more
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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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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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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, 2004The 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, 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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