Characterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maik Nauka-Interperiodica Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we study the boundedness of the fractional integral operator I ? on Carnot group G in the generalized Morrey spaces M p, ? (G). We shall give a characterization for the strong and weak type boundedness of I ? on the generalized Morrey spaces, respectively. As applications of the properties of the fundamental solution of sub-Laplacian L on G, we prove two Sobolev–Stein embedding theorems on generalized Morrey spaces in the Carnot group setting. © 2017, Pleiades Publishing, Ltd.
Açıklama
Anahtar Kelimeler
Carnot group, fractional integral operator, generalized Morrey space
Kaynak
Mathematical Notes
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
Cilt
102
Sayı
45448
