Some properties of thinness and fine topology with relative capacity

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dc.authoridUNAL, CIHAN/0000-0002-7242-393X
dc.contributor.authorUnal, Cihan
dc.contributor.authorAydin, Ismail
dc.date.accessioned2025-03-23T19:42:25Z
dc.date.available2025-03-23T19:42:25Z
dc.date.issued2023
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we introduce a thinness in sense to a type of relative capacity for weighted variable exponent Sobolev space. Moreover, we reveal some properties of this thinness and consider the relationship with finely open and finely closed sets. We discuss fine topology and compare this topology with Euclidean one. Finally, we give some information about importance of the fine topology in the potential theory.
dc.identifier.doi10.1007/s12215-022-00776-1
dc.identifier.endpage1877
dc.identifier.issn0009-725X
dc.identifier.issn1973-4409
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85132829668
dc.identifier.scopusqualityQ1
dc.identifier.startpage1863
dc.identifier.urihttps://doi.org/10.1007/s12215-022-00776-1
dc.identifier.urihttps://hdl.handle.net/11486/6791
dc.identifier.volume72
dc.identifier.wosWOS:000815748500002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer-Verlag Italia Srl
dc.relation.ispartofRendiconti Del Circolo Matematico Di Palermo
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectFine topology
dc.subjectThinness
dc.subjectRelative capacity
dc.subjectWeighted variable exponent Sobolev spaces
dc.titleSome properties of thinness and fine topology with relative capacity
dc.typeArticle

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