Admissible singular operators and their commutators on vanishing generalized Orlicz Morrey spaces
     
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Javanshir J. Hasanov
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Inequalities and Applications (Q4)
Dergi ISSN 1025-5834
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 01-2014
Cilt / Sayı / Sayfa 2014 / 1 / 143–0 DOI 10.1186/1029-242X-2014-143
Makale Linki http://www.journalofinequalitiesandapplications.com/content/2014/1/143
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