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Phi Psi admissible potential operators and their commutators on vanishing Orlicz Morrey spaces      
Yazarlar
 Vagıf GULIYEV Vagıf GULIYEV
Ahi Evran Üniversitesi, Türkiye
 Fatih DERİNGÖZ Fatih DERİNGÖZ
Ahi Evran Üniversitesi, Türkiye
Hasanov Javanshir J
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 Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 01-2016
Cilt No 67
Sayı 1
Sayfalar 133 / 153
Doi Numarası 10.1007/s13348-015-0135-1
Makale Linki http://link.springer.com/10.1007/s13348-015-0135-1