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(Φ,Ψ)-admissible potential operators and their commutators on vanishing Orlicz-Morrey spaces    
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi
Javanshir J. Hasanov
Özet
We study the boundedness of -admissible potential operators and their commutators on vanishing generalized Orlicz-Morrey spaces including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as the Riesz potential, fractional maximal operator and so on. In all the cases the conditions for the boundedness are given in terms of Zygmund-type integral inequalities involving the Young functions , and the function defining the space, without assuming any monotonicity property of on r.
Anahtar Kelimeler
(Φ, Ψ)-admissible potential operators | BMO | Commutator | Fractional maximal operator | Riesz potential | Vanishing generalized Orlicz-Morrey space
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı COLLECTANEA MATHEMATICA
Dergi ISSN 0010-0757
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 01-2016
Cilt No 67
Sayı 1
Sayfalar 133 / 153
Doi Numarası 10.1007/s13348-015-0135-1