Yazarlar |
Vagıf GULIYEV
Ahi Evran Üniversitesi, Türkiye |
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 |