The boundedness of Hilbert transform in the local Morrey-Lorentz spaces
Yazarlar (4)
Ankara Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Ankara Üniversitesi, Türkiye
Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Integral Transforms and Special Functions (Q3) | ||
| Dergi ISSN | 1065-2469 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2016 |
| Cilt / Sayı / Sayfa | 27 / 4 / 318–330 | DOI | 10.1080/10652469.2015.1121483 |
| Özet |
| In this paper, we investigate the boundedness of the Hilbert transform H in the local Morrey-Lorentz spaces [GRAPHICS] , [GRAPHICS] , [GRAPHICS] . We prove that the operator H is bounded in [GRAPHICS] under the condition [GRAPHICS] , [GRAPHICS] . In the limiting case [GRAPHICS] , [GRAPHICS] , we prove that the operator H is bounded from the space [GRAPHICS] to the weak local Morrey-Lorentz space [GRAPHICS] . Also we show that for the limiting case [GRAPHICS] , [GRAPHICS] , the modified Hilbert transform [GRAPHICS] is bounded from the space [GRAPHICS] to the bounded mean oscillation space. |
| Anahtar Kelimeler |
| Hardy operator | Hilbert transform | Local Morrey–Lorentz spaces | modified Hilbert transform |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 14 |
| SCOPUS | 14 |
| Google Scholar | 18 |