| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Turhan Karaman
|
|
Rza Chingiz Mustafayev
|
|
Ayhan Serbetci
|
| Özet |
| In this paper, the boundedness of a large class of sublinear commutator operators T (b) generated by a Caldern-Zygmund type operator on a generalized weighted Morrey spaces with the weight function w belonging to Muckenhoupt's class A (p) is studied. When 1 < p < a and b a BMO, sufficient conditions on the pair (phi (1), phi (2)) which ensure the boundedness of the operator T (b) from to are found. In all cases the conditions for the boundedness of T (b) are given in terms of Zygmund-type integral inequalities on (phi (1), phi (2)), which do not require any assumption on monotonicity of phi (1)(x, r), phi (2)(x, r) in r. Then these results are applied to several particular operators such as the pseudo-differential operators, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. |
| Anahtar Kelimeler |
| BMO space | Calderón-Zygmund operator | commutator | generalized weighted Morrey space | maximal operator | sublinear operator |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | CZECHOSLOVAK MATHEMATICAL JOURNAL |
| Dergi ISSN | 0011-4642 |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2014 |
| Cilt No | 64 |
| Sayı | 2 |
| Sayfalar | 365 / 386 |
| Doi Numarası | 10.1007/s10587-014-0107-8 |
| Atıf Sayıları | |
| WoS | 16 |
| SCOPUS | 25 |
