Buckley, Stephen M. and Kaskela, Pekka and Vukotić, Dragan
Fractional integration, differentiation, and weighted Bergman spaces.
Mathematical Proceedings of the Cambridge Philosophical Society, 126 (2).
We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coefficients of functions in certain subclasses of these spaces. We then derive several criteria for the multipliers between such spaces, complementing and extending various recent results. Univalent Bergman functions are also considered.
||Fractional integration; Differentiation; Bergman spaces; Taylor coefficients; Hardy and Littlewood; Lacunary sequences.
||Faculty of Science and Engineering > Mathematics and Statistics
Prof. Stephen Buckley
||02 Nov 2009 11:40
|Journal or Publication Title:
||Mathematical Proceedings of the Cambridge Philosophical Society
||Cambridge University Press
||NSF Grant DMS 9207715, Forbairt, NSF Grant DMS 9305742, Academy of Finland
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