Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2012; 27(4): 753-762

Printed December 1, 2012

https://doi.org/10.4134/CKMS.2012.27.4.753

Copyright © The Korean Mathematical Society.

Some remarks on extremal problems in weighted Bergman spaces of analytic functions

Romi F. Shamoyan and Milo\v s Arsenovi\'c

Bryansk University, Studentski Trg 16

Abstract

We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane. We also prove new analogous results in the context of bounded strictly pseudoconvex domains with smooth boundary.

Keywords: Bergman spaces, pseudoconvex domains, extremal problems

MSC numbers: Primary 42B15