The boundedness of Hilbert transform in the local Morrey-Lorentz spaces
Yazarlar (4)
C. Aykol Ankara Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
A. Kucukaslan Ankara Üniversitesi, Türkiye
A. Serbetci 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 |
| Makale Linki | https://www.tandfonline.com/doi/abs/10.1080/10652469.2015.1121483 | ||
| Özet |
| In this paper, we investigate the boundedness of the Hilbert transform H in the local Morrey–Lorentz spaces , , . We prove that the operator H is bounded in under the condition , . In the limiting case , , we prove that the operator H is bounded from the space to the weak local Morrey–Lorentz space . Also we show that for the limiting case , , the modified Hilbert transform is bounded from the space to the bounded mean oscillation space. |
| Anahtar Kelimeler |
| Hardy operator | Hilbert transform | Local Morrey–Lorentz spaces | modified Hilbert transform |
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| Atıf Sayıları | |
| Google Scholar | 20 |
| Web of Science | 15 |