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.
Milo\v s Arsenovi\'c and Romi F. Shamoyan
Bryansk University, University of Belgrade
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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