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ON DISTANCE ESTIMATES AND ATOMIC DECOMPOSITIONS IN SPACES OF ANALYTIC FUNCTIONS ON STRICTLY PSEUDOCONVEX DOMAINS

  • Arsenovic, Milos (Bryansk University) ;
  • Shamoyan, Romi F. (Faculty of mathematics University of Belgrade)
  • Received : 2013.04.15
  • Published : 2015.01.31

Abstract

We prove some sharp extremal distance results for functions in various spaces of analytic functions on bounded strictly pseudoconvex domains with smooth boundary. Also, we obtain atomic decompositions in multifunctional Bloch and weighted Bergman spaces of analytic functions on strictly pseudoconvex domains with smooth boundary, which extend known results in the classical case of a single function.

Keywords

Acknowledgement

Supported by : Ministry of Science

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