On the Riesz Potential and Its Commutators on Generalized Orlicz Morrey Spaces
Yazarlar (2)
Vagif S Guliyev Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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 http://www.hindawi.com/journals/jfs/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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 50
Scopus 35
Web of Science 26
On the Riesz Potential and Its Commutators on Generalized Orlicz Morrey Spaces

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