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Admissible singular operators and their commutators on vanishing generalized Orlicz Morrey spaces     
Yazarlar (3)
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
Devamını Göster
Özet
We study the boundedness of φ-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VMφ, φ (Rn) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator, the Calderón-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 φ (x, r) without assuming any monotonicity property of φ (x, r) on r. © 2014 Guliyev et al.; licensee Springer.
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 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 01-2014
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