| Makale Türü |
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| Dergi Adı | Journal of Inequalities and Applications | ||
| Dergi ISSN | 1025-5834 | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2014 |
| 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 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 |