Maximal Operator and its Commutators on GeneralizedWeightedOrlicz-Morrey Spaces
     
Yazarlar (3)
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Vagif S Guliyev Azerbaijan National Academy Of Sciences, Azerbaycan
Sabir G Hasanov Azerbaijan National Academy Of Sciences, Azerbaycan
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Tokyo Journal of Mathematics
Dergi ISSN 0387-3870 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 12-2018
Cilt / Sayı / Sayfa 41 / 2 / 347–369 DOI 10.3836/tjm/1502179260
Özet
In the present paper, we shall give necessary and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and its commutators on generalized weighted Orlicz-Morrey spaces M-w(Phi,psi)(R-n). The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators and we do not need Delta(2)-condition for the boundedness of the maximal operator. We also consider the vector-valued boundedness of the Hardy-Littlewood maximal operator.
Anahtar Kelimeler
Commutator | Generalized weighted Orlicz-Morrey space | Maximal operator | Vector-valued inequalities