| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Seymur S. Aliyev
|
|
Turhan Karaman
|
| Özet |
| The authors study the boundedness for a large class of sublinear operator T generated by Calderon-Zygmund operator on generalized Morrey spaces M-p,M-phi As an application of this result, the boundedness of the commutator of sublinear operators T-a on generalized Morrey spaces is obtained. In the case a is an element of BMO (R-n), 1 < p < infinity and T-a is a sublinear operator, we find the sufficient conditions on the pair phi(1), phi(2) which ensures the boundedness of the operator Ta from one generalized Morrey space M-p,M-phi 1 to another M-p,M-phi 2. In all cases, the conditions for the boundedness of T-a are given in terms of Zygmund-type integral inequalities on (phi(1), phi(2)), which do not assume any assumption on monotonicity of phi(1), phi(2) 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. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | ABSTRACT AND APPLIED ANALYSIS |
| Dergi ISSN | 1085-3375 |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2011 |
| Cilt No | 2011 |
| Sayı | 1 |
| Doi Numarası | 10.1155/2011/356041 |
