Intersections and Unions of Weighted Bergman Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2006 English Publisher:Springer Science and Business Media LLCJournal:Computational Methods and Function Theory, volume 5, pages 459-469 (issn: 1617-9447, eissn: 2195-3724,

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Authors: Korhonen, Risto; Rättyä, Jouni;

doi: 10.1007/bf03321110

Intersections and Unions of Weighted Bergman Spaces

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Abstract

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) -1\).

Related Organizations

University of Eastern Finland
Finland

Keywords

Bergman spaces, Spaces of bounded analytic functions of one complex variable, spaces of analytic functions on the disk, \(H^p\)-classes

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