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Boundedness of Fractional Maximal Operator and its Commutators on Generalized Orlicz-Morrey Spaces    
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi
Özet
We consider generalized Orlicz-Morrey spaces including their weak versions . We find the sufficient conditions on the pairs and which ensures the boundedness of the fractional maximal operator from to and from to . As applications of those results, the boundedness of the commutators of the fractional maximal operator with on the spaces is also obtained. In all the cases the conditions for the boundedness are given in terms of supremal-type inequalities on weights , which do not assume any assumption on monotonicity of 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
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 08-2015
Cilt No 9
Sayı 6
Sayfalar 1249 / 1267
Doi Numarası 10.1007/s11785-014-0401-3