Yazarlar |
Vagif S Guliyev
|
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/ |
Atıf Sayıları | |
WoS | 22 |
SCOPUS | 31 |