Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Seymur S. Aliyev
Azerbaijan National Academy Of Sciences, Azerbaycan
Azerbaijan National Academy Of Sciences, Azerbaycan
Dr. Öğr. Üyesi Turhan KARAMAN Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Abstract and Applied Analysis (Q4) | ||
| Dergi ISSN | 1085-3375 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2011 |
| Cilt / Sayı / Sayfa | 2011 / 1 / 356041–0 | DOI | 10.1155/2011/356041 |
| Makale Linki | https://downloads.hindawi.com/journals/aaa/2011/356041.pdf | ||
| Özet |
| The authors study the boundedness for a large class of sublinear operator T generated by Calderón‐Zygmund operator on generalized Morrey spaces Mp,φ. As an application of this result, the boundedness of the commutator of sublinear operators Ta on generalized Morrey spaces is obtained. In the case a ∈ BMO(ℝn), 1 < p < ∞ and Ta is a sublinear operator, we find the sufficient conditions on the pair (φ1, φ2) which ensures the boundedness of the operator Ta from one generalized Morrey space to another . In all cases, the conditions for the boundedness of Ta are given in terms of Zygmund‐type integral inequalities on (φ1, φ2), which do not assume any assumption on monotonicity of φ1, φ2 in r. Conditions of these theorems are satisfied by many important operators in analysis, in particular pseudodifferential operators, Littlewood‐Paley operator, Marcinkiewicz operator, and Bochner‐Riesz operator. |
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