On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn

On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn

Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounde...

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Bibliographic Details
Main Authors: Romi F. Shamoyan, Olivera Mihić
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/975434
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spelling doaj-6d14641260fb47fba9d0977e4cf22eaf2020-11-25T00:06:23ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/975434975434On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in CnRomi F. Shamoyan0Olivera Mihić1Department of Mathematics, Bryansk State Technical University, Bryansk 241050, RussiaFakultet organizacionih nauka, Jove Ilića 154, 11000 Belgrade, SerbiaBased on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounded symmetric domains of tube type, Siegel domains, and minimal bounded homogeneous domains.http://dx.doi.org/10.1155/2014/975434
collection DOAJ
language English
format Article
sources DOAJ
author Romi F. Shamoyan
Olivera Mihić
spellingShingle Romi F. Shamoyan
Olivera Mihić
On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
Journal of Function Spaces
author_facet Romi F. Shamoyan
Olivera Mihić
author_sort Romi F. Shamoyan
title On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
title_short On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
title_full On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
title_fullStr On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
title_full_unstemmed On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
title_sort on extremal problems in certain new bergman type spaces in some bounded domains in cn
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2014-01-01
description Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounded symmetric domains of tube type, Siegel domains, and minimal bounded homogeneous domains.
url http://dx.doi.org/10.1155/2014/975434
work_keys_str_mv AT romifshamoyan onextremalproblemsincertainnewbergmantypespacesinsomeboundeddomainsincn
AT oliveramihic onextremalproblemsincertainnewbergmantypespacesinsomeboundeddomainsincn
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