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On a family of quasimetric spaces in generalized potential theory
Journal
The Journal of Geometric Analysis
100
Author
Åhag Per
Czyż Rafał
Volume
32
Article ID
117
ISSN
1050-6926
eISSN
1559-002X
Keywords in English
Caffarelli–Nirenberg–Spruck model
Cegrell class
complex Hessian operator
m-subharmonic function
quasimetric space
stability
Language
English
Container language
English
Abstract in English
We construct a family of quasimetric spaces in generalized potential theory containing m-subharmonic functions with finite (p, m)-energy. These quasimetric spaces will be viewed both in Cn and in compact Kähler manifolds, and their convergence will be used to improve known stability results for the complex Hessian equations.
Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
2
cris.lastimport.scopus | 2024-04-24T02:54:10Z | |
cris.lastimport.wos | 2024-04-09T21:33:26Z | |
dc.abstract.en | We construct a family of quasimetric spaces in generalized potential theory containing m-subharmonic functions with finite (p, m)-energy. These quasimetric spaces will be viewed both in Cn and in compact Kähler manifolds, and their convergence will be used to improve known stability results for the complex Hessian equations. | pl |
dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
dc.contributor.author | Åhag, Per | pl |
dc.contributor.author | Czyż, Rafał - 127678 | pl |
dc.date.accessioned | 2022-02-25T15:28:48Z | |
dc.date.available | 2022-02-25T15:28:48Z | |
dc.date.issued | 2022 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 32 | pl |
dc.identifier.articleid | 117 | pl |
dc.identifier.doi | 10.1007/s12220-021-00857-0 | pl |
dc.identifier.eissn | 1559-002X | pl |
dc.identifier.issn | 1050-6926 | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/288568 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | inne | |
dc.subject.en | Caffarelli–Nirenberg–Spruck model | pl |
dc.subject.en | Cegrell class | pl |
dc.subject.en | complex Hessian operator | pl |
dc.subject.en | m-subharmonic function | pl |
dc.subject.en | quasimetric space | pl |
dc.subject.en | stability | pl |
dc.subtype | Article | pl |
dc.title | On a family of quasimetric spaces in generalized potential theory | pl |
dc.title.journal | The Journal of Geometric Analysis | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
Affiliations
Wydział Matematyki i Informatyki
Czyż, Rafał
No affiliation
Åhag, Per
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Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence