| Yazarlar |
C. Aykol
|
Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
|
A. Kucukaslan
|
|
A. Serbetci
|
| 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS |
| Dergi ISSN | 1065-2469 |
| Dergi Grubu | Q3 |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2016 |
| Cilt No | 27 |
| Sayı | 4 |
| Sayfalar | 318 / 330 |
| Doi Numarası | 10.1080/10652469.2015.1121483 |
| Atıf Sayıları | |
| WoS | 10 |
| SCOPUS | 10 |
| Google Scholar | 15 |
