| 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 | 10.32513/tbilisi/1585015221.short |
| Makale Linki | https://projecteuclid.org/journals/tbilisi-mathematical-journal/volume-13/issue-1/Oscillatory-integrals-with-variable-Calder%C3%B3n-Zygmund-kernel-on-vanishing-generalized/10.32513/tbilisi/1585015221.short | ||
| Özet |
| In this paper, the authors investigate the boundedness of the oscillatory singular integrals with variable Calderón-Zygmund kernel on generalized Morrey spaces and the vanishing generalized Morrey spaces . When and satisfies some conditions, we show that the oscillatory singular integral operators and are bounded from to and from to . Meanwhile, the corresponding result for the oscillatory singular integrals with standard Calderón-Zygmund kernel are established. |
| Anahtar Kelimeler |
| vanishing generalized Morrey space | oscillatory integral | variable Calderon-Zygmund kernels |