Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi |
Javanshir J. Hasanov
|
Özet |
We study the boundedness of Phi-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator, the Calder n-Zygmund singular integral operator and so on. In all the cases the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on weights phi(x, r) without assuming any monotonicity property of phi(x, r) on r. |
Anahtar Kelimeler |
BMO | Calderón-Zygmund singular integral operator | Commutator | Hardy-Littlewood maximal operator | Vanishing generalized Orlicz-Morrey space | φ-admissible singular operators |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | JOURNAL OF INEQUALITIES AND APPLICATIONS |
Dergi ISSN | 1029-242X |
Dergi Grubu | Q1 |
Makale Dili | İngilizce |
Basım Tarihi | 04-2014 |
Cilt No | 2014 |
Sayı | 1 |
Doi Numarası | 10.1186/1029-242X-2014-143 |