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http://dx.doi.org/10.4134/BKMS.2015.52.1.085

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 85-103 More about this Journal
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
Bergman spaces; Bloch space; pseudoconvex domains; extremal problems; atomic decomposition;
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Times Cited By KSCI : 1  (Citation Analysis)
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