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Fractional maximal function and its commutators on Orlicz spaces      
Yazarlar
Vagif S Guliyev
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
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 Tarandığı Indeksler SCI-Expanded
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
Makale Linki http://link.springer.com/10.1007/s13324-017-0189-1