On distance estimates and atomic decompositions in spaces of analytic functions on strictly pseudoconvex domains
Bull. Korean Math. Soc. 2015 Vol. 52, No. 1, 85-103
https://doi.org/10.4134/BKMS.2015.52.1.85
Printed January 31, 2015
Milo\v s Arsenovi\'c and Romi F. Shamoyan
Bryansk University, University of Belgrade
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
MSC numbers : Primary 30D45
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