Oscillatory integrals with variable Calderon-Zygmund kernel on vanishing generalized Morrey spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Dumlupinar University, Türkiye
Dumlupinar University, Türkiye
Dumlupinar University, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | TBILISI MATHEMATICAL JOURNAL | ||
| Dergi ISSN | 1875-158X Wos Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2020 |
| Cilt / Sayı / Sayfa | 13 / 1 / 69–82 | DOI | – |
| 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 |
