(Lp, Lq) Boundedness of the fractional maximal operator associated with the Dunkl operator on the real line
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Y. Y. Mammadov
Nakhchivan State University, Azerbaycan
Nakhchivan State University, Azerbaycan
| 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 | 01-2010 |
| Cilt / Sayı / Sayfa | 21 / 8 / 629–639 | DOI | 10.1080/10652460903507248 |
| Makale Linki | https://www.tandfonline.com/doi/abs/10.1080/10652460903507248 | ||
| Özet |
| On the real line, the Dunkl operators are differential-difference operators associated with the reflection group ℤ2 on ℝ. In this paper, we obtain necessary and sufficient conditions on the parameters for the boundedness of the fractional maximal operator associated with the Dunkl operator on ℝ from the spaces L p,α(ℝ) to the spaces L q,α(ℝ) and from the spaces L 1,α(ℝ) to the weak spaces WL q,α(ℝ). |
| Anahtar Kelimeler |
| Dunkl operator | Dunkl transform | Fractional integral operator | Fractional maximal operator | Generalized translation operator |