On some extremal problems in Bergman spaces in weakly pseudoconvex domains-Reference-Cited by-同舟云学术

On some extremal problems in Bergman spaces in weakly pseudoconvex domains

Published:2018-12-01 Issue:2 Volume:26 Page:83-97
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Shamoyan Romi F.¹,Mihić Olivera R.²

Affiliation:

1. Department of Mathematics , Bryansk State Technical, University , Bryansk , Russia

2. University of Belgrade , Faculty of Organisational Sciences , Belgrade , Serbia

Abstract

Abstract We consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂ n based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces

A α p

$A_\alpha ^p$

in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2018-0006

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