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Admissible singular operators and their commutators on vanishing generalized Orlicz Morrey spaces      
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Ahi Evran Üniversitesi, Türkiye
Hasanov Javanshır
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 Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 04-2014
Cilt No 2014
Sayı 1
Sayfalar 143 / 0
Doi Numarası 10.1186/1029-242X-2014-143
Makale Linki http://www.journalofinequalitiesandapplications.com/content/2014/1/143