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Boundedness of Fractional Maximal Operator and its Commutators on Generalized Orlicz Morrey Spaces     
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
We consider generalized Orlicz–Morrey spaces (Formula presented.) including their weak versions (Formula presented.). We find the sufficient conditions on the pairs (Formula presented.) which ensures the boundedness of the fractional maximal operator (Formula presented.) to (Formula presented.) and from (Formula presented.) to (Formula presented.). As applications of those results, the boundedness of the commutators of the fractional maximal operator (Formula presented.) with (Formula presented.) on the spaces (Formula presented.) is also obtained. In all the cases the conditions for the boundedness are given in terms of supremal-type inequalities on weights (Formula presented.), which do not assume any assumption on monotonicity of (Formula presented.) on r.
Anahtar Kelimeler
BMO | Commutator | Fractional maximal operator | Generalized Orlicz–Morrey space
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Complex Analysis and Operator Theory
Dergi ISSN 1661-8254 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 08-2015
Cilt No 9
Sayı 6
Sayfalar 1249 / 1267
Doi Numarası 10.1007/s11785-014-0401-3
Makale Linki http://link.springer.com/10.1007/s11785-014-0401-3