Fractional maximal function and its commutators on Orlicz spaces
    
Yazarlar (3)
Prof. Dr. Vagıf 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
Makale Dili İngilizce Basım Tarihi 03-2019
Cilt / Sayı / Sayfa 9 / 1 / 165–179 DOI 10.1007/s13324-017-0189-1
Makale Linki https://arxiv.org/pdf/1803.03069
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