img
On the Riesz Potential and Its Commutators on Generalized Orlicz Morrey Spaces    
Yazarlar
Vagif S Guliyev
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Ahi Evran Üniversitesi, Türkiye
Özet
We consider generalized Orlicz-Morrey spaces M-Phi,M-phi(R-n) including their weak versions WM Phi,phi(R-n). In these spaces we prove the boundedness of the Riesz potential from M-Phi,M-phi 1(R-n) to M-Psi,M-phi 2(R-n) and from M-Phi,M-phi 1(R-n) to WM Psi,phi 2(R-n). As applications of those results, the boundedness of the commutators of the Riesz potential on generalized Orlicz-Morrey space is also obtained. In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on (phi(1), phi(2)), which do not assume any assumption on monotonicity of phi(1)(x, r), phi(2)(x, r) in r.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF FUNCTION SPACES
Dergi ISSN 2314-8896
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 01-2014
Cilt No 2014
Sayı 1
Sayfalar 1 / 11
Doi Numarası 10.1155/2014/617414
Makale Linki http://www.hindawi.com/journals/jfs/2014/617414/