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Maximal Operator and its Commutators on Generalized Weighted Orlicz-Morrey Spaces    
Yazarlar
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Sabir G. Hasanov
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı TOKYO JOURNAL OF MATHEMATICS
Dergi ISSN 0387-3870
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 12-2018
Cilt No 41
Sayı 2
Sayfalar 347 / 369
Doi Numarası 10.3836/tjm/1502179260