The boundedness of Hilbert transform in the local Morrey Lorentz spaces
Yazarlar (4)
Canay Aykol Yüce Ankara Üniversitesi, Türkiye
Ayhan Şerbetçi Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS (Q4) | ||
| Dergi ISSN | 1065-2469 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2016 |
| Cilt / Sayı / Sayfa | 27 / 4 / 318–330 | DOI | – |
| 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. |
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