| Yazarlar |
Turhan Karaman
|
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
|
Ayhan Serbetci
|
| Özet |
| In this paper we study the boundedness for a large class of sublinear operators T generated by Calderon-Zygmund operators on generalized weighted Morrey spaces M-p,M-phi(w) with the weight function w(x) belonging to Muckenhoupt's class A(p). We find the sufficient conditions on the pair (phi(1), phi(2)) which ensures the boundedness of the operator T from one generalized weighted Morrey space M-p,(phi 1) (w) to another M-p,M-phi 2 (w) for p > 1 and from M-1,M-phi 1 (w) to the weak space WM1,phi 2 (w). In all cases the conditions for the boundedness 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 pseudo-differential operators, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. |
| Anahtar Kelimeler |
| Bochner-Riesz operator | Calderón-Zygmund operators | Generalized weighted Morrey spaces | Littlewood-Paley operator | Marcinkiewicz operator | Pseudo-differential operators | Sublinear operators |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA |
| Dergi ISSN | 1221-8421 |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2014 |
| Cilt No | 60 |
| Sayı | 1 |
| Sayfalar | 227 / 244 |
| Doi Numarası | 10.2478/aicu-2013-0009 |
| Atıf Sayıları | |
| WoS | 17 |
| SCOPUS | 24 |
| Google Scholar | 45 |
