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Φ-Admissible singular operators and their commutators on vanishing generalized 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 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