Riesz potential in generalized Morrey spaces on the Heisenberg group
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider the Riesz potential operator I?, on the Heisenberg group Hn in generalized Morrey spaces Mp,?(Hn) and find conditions for the boundedness of I? as an operator from Mp,?1(Hn) to Mp,?2(Hn), 1 < p < ?, and from Mp,?1(Hn) to a weak Morrey space WM1,?2(Hn). The boundedness conditions are formulated it terms of Zygmund type integral inequalities. Based on the properties of the fundamental solution of the sub-Laplacian on Hn, we prove two Sobolev-Stein embedding theorems for generalized Morrey and Besov-Morrey spaces. Bibliography: 40 titles. © 2013 Springer Science+Business Media New York.
Açıklama
Anahtar Kelimeler
Kaynak
Journal of Mathematical Sciences (United States)
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
189
Sayı
3
