Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2015; 52(1): 85-103

Printed January 31, 2015

https://doi.org/10.4134/BKMS.2015.52.1.85

Copyright © The Korean Mathematical Society.

On distance estimates and atomic decompositions in spaces of analytic functions on strictly pseudoconvex domains

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