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Fractional integration, differentiation, and weighted Bergman spaces

  • STEPHEN M. BUCKLEY (a1), PEKKA KOSKELA (a2) and DRAGAN VUKOTIĆ (a3)
    • Published online: 01 March 1999
Abstract

We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coeffficients 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.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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