Results 131 to 140 of about 1,089 (168)

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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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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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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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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Bicomplex Weighted Bergman Spaces and Composition Operators

Advances in Applied Clifford Algebras, 2023
zbMATH 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, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Armando Sánchez-Nungaray, Miguel Antonio Morales-Ramos, María del Rosario Ramírez-Mora   +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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The Bergman Projection on Weighted Norm Spaces

Canadian Journal of Mathematics, 1980
Quite 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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An Integral Formula in Weighted Bergman Spaces

Computational Methods and Function Theory, 2010
This paper is best described by its abstract: ``In order to establish that extremal functions in the Bergman space \(A^p\) act as both expansive multipliers and contractive divisors, \textit{P. Duren, D. Khavinson, H. S. Shapiro} and \textit{C. Sundberg} [Pac. J. Math.
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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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