On the Riesz Potential and Its Commutators on Generalized Orlicz Morrey Spaces
Yazarlar (2)
Vagif S Guliyev
Kırşehir Ahi Evran Üniversitesi, Türkiye
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Function Spaces | ||
| Dergi ISSN | 2314-8896 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 2014 / 1 / 1–11 | DOI | 10.1155/2014/617414 |
| Makale Linki | https://doi.org/10.1155/2014/617414 | ||
| Özet |
| We consider generalized Orlicz‐Morrey spaces MΦ,φ(ℝn) including their weak versions WMΦ,φ(ℝn). In these spaces we prove the boundedness of the Riesz potential from to and from to . 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 (φ1, φ2), which do not assume any assumption on monotonicity of φ1(x, r), φ2(x, r) in r. |
| Anahtar Kelimeler |
