| Yazarlar (3) |
Prof. Dr. Vagıf GULIYEV
Dumlupinar University, Türkiye |
|
Dumlupinar University, Türkiye |
|
Dumlupinar University, Türkiye |
| Özet |
| In this paper, the authors investigate the boundedness of the oscillatory singular integrals with variable CalderOn-Zygmund kernel on generalized Morrey spaces M-p,M-phi(R-n) and the vanishing generalized Morrey spaces VMp,phi(R-n). When 1 < p < infinity and (phi(1), phi(2)) satisfies some conditions, we show that the oscillatory singular integral operators T-lambda and T-lambda* are bounded from M-p,M-phi 1(R-n) to M-p,M-phi 2(R-n) and from VM(p,phi)1(R-n) to VMp,phi 2(R-n). Meanwhile, the corresponding result for the oscillatory singular integrals with standard CalderOn-Zygmund kernel are established. |
| Anahtar Kelimeler |
| vanishing generalized Morrey space | oscillatory integral | variable Calderon-Zygmund kernels |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayınlanan tam makale |
| Dergi Adı | TBILISI MATHEMATICAL JOURNAL |
| Dergi ISSN | 1875-158X Wos Dergi |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2020 |
| Cilt No | 13 |
| Sayı | 1 |
| Sayfalar | 69 / 82 |