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Fractional maximal function and its commutators on Orlicz 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
Sabir G. Hasanov
Özet
In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator M on Orlicz spaces. As an application of this results we consider the boundedness of fractional maximal commutator Mb, and nonlinear commutator of fractional maximal operator [b,M] on Orlicz spaces, when b belongs to the Lipschitz space, by which some new characterizations of the Lipschitz spaces are given.
Anahtar Kelimeler
Commutator | Fractional maximal function | Lipschitz space | Orlicz space
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ANALYSIS AND MATHEMATICAL PHYSICS
Dergi ISSN 1664-2368
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 03-2019
Cilt No 9
Sayı 1
Sayfalar 165 / 179
Doi Numarası 10.1007/s13324-017-0189-1