img
Φ-Admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces    
Yazarlar
 Vagıf GULIYEV Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
 Fatih DERİNGÖZ 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