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Journal
The Journal of Geometric Analysis
35
Author
Pflug Peter
Zwonek Włodzimierz
Volume
27
Issue
3
Pages
2118-2130
ISSN
1050-6926
eISSN
1559-002X
Keywords in English
Balanced domain
Lelong number
Bergman space
Language
English
Container language
English
Abstract in English
We investigate problems related with the existence of square integrable holomorphic functions on (unbounded) balanced domains. In particular, we solve the problem of Wiegerinck for balanced domains in dimension two. We also give a description of
Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
5
cris.lastimport.scopus | 2024-04-07T13:02:26Z | |
dc.abstract.en | We investigate problems related with the existence of square integrable holomorphic functions on (unbounded) balanced domains. In particular, we solve the problem of Wiegerinck for balanced domains in dimension two. We also give a description of $L_{h}^{2}$-domains of holomorphy in the class of balanced domains and present a purely algebraic criterion for homogeneous polynomials to be square integrable in a pseudoconvex balanced domain in $\mathbb{C}^{2}$. This allows easily to decide which pseudoconvex balanced domain in $\mathbb{C}^{2}$ has a positive Bergman kernel and which admits the Bergman metric. | pl |
dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
dc.contributor.author | Pflug, Peter | pl |
dc.contributor.author | Zwonek, Włodzimierz - 132944 | pl |
dc.date.accessioned | 2017-07-11T07:01:30Z | |
dc.date.available | 2017-07-11T07:01:30Z | |
dc.date.issued | 2017 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 3 | pl |
dc.description.physical | 2118-2130 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 27 | pl |
dc.identifier.doi | 10.1007/s12220-016-9754-3 | pl |
dc.identifier.eissn | 1559-002X | pl |
dc.identifier.issn | 1050-6926 | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/42598 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 3.0 Polska | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/legalcode | * |
dc.share.type | inne | |
dc.subject.en | Balanced domain | pl |
dc.subject.en | Lelong number | pl |
dc.subject.en | Bergman space | pl |
dc.subject.en | $L_{h}^{2}$-functions | pl |
dc.subject.en | $L_{h}^{2}$-domain of holomorphy | pl |
dc.subtype | Article | pl |
dc.title | $L_{h}^{2}$-functions in unbounded balanced domains | pl |
dc.title.journal | The Journal of Geometric Analysis | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
Affiliations
Wydział Matematyki i Informatyki
Zwonek, Włodzimierz
No affiliation
Pflug, Peter
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