Fractional maximal function and its commutators on Orlicz spaces
     
Yazarlar (3)
Vagif S Guliyev Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Sabir G Hasanov Ganja State University, Azerbaycan
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Analysis and Mathematical Physics (Q1)
Dergi ISSN 1664-2368 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 03-2019
Cilt / Sayı / Sayfa 9 / 1 / 165–179 DOI 10.1007/s13324-017-0189-1
Makale Linki http://link.springer.com/10.1007/s13324-017-0189-1
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