Results 161 to 170 of about 440 (199)
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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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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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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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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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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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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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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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The Bergman Projection on Weighted Norm Spaces
Canadian Journal of Mathematics, 1980Quite recently Bekollé and Bonami [1] have characterized the weighted measures λ on the unit disk Δ for which the Bergman projection is bounded on Lp(Δ : λ), 1 < p < ∞. Our methods in [4] can be applied to even extend their result by replacing the unit disk with multiply connected domains.
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