Some properties of thinness and fine topology with relative capacity
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Fine topology, Thinness, Relative capacity, Weighted variable exponent Sobolev spaces
Kaynak
Rendiconti Del Circolo Matematico Di Palermo
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
72
Sayı
3
