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On a family of quasimetric spaces in generalized potential theory

2022
journal article
article
10.1007/s12220-021-00857-0
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.scopus2024-04-24T02:54:10Z
cris.lastimport.wos2024-04-09T21:33:26Z
dc.abstract.enWe 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.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorÅhag, Perpl
dc.contributor.authorCzyż, Rafał - 127678 pl
dc.date.accessioned2022-02-25T15:28:48Z
dc.date.available2022-02-25T15:28:48Z
dc.date.issued2022pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume32pl
dc.identifier.articleid117pl
dc.identifier.doi10.1007/s12220-021-00857-0pl
dc.identifier.eissn1559-002Xpl
dc.identifier.issn1050-6926pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/288568
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subject.enCaffarelli–Nirenberg–Spruck modelpl
dc.subject.enCegrell classpl
dc.subject.encomplex Hessian operatorpl
dc.subject.enm-subharmonic functionpl
dc.subject.enquasimetric spacepl
dc.subject.enstabilitypl
dc.subtypeArticlepl
dc.titleOn a family of quasimetric spaces in generalized potential theorypl
dc.title.journalThe Journal of Geometric Analysispl
dc.typeJournalArticlepl
dspace.entity.typePublication
Affiliations
Wydział Matematyki i Informatyki
Czyż, Rafał
No affiliation
Åhag, Per

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