(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
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 |
| Özet |
| On the real line, the Dunkl operators are differential-difference operators associated with the reflection group Z(2) 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,L-alpha(R) to the spaces L-q,L-alpha(R) and from the spaces L-1,L-alpha(R) to the weak spaces W L-q,L-alpha(R). |
| Anahtar Kelimeler |
| Dunkl operator | Dunkl transform | Fractional integral operator | Fractional maximal operator | Generalized translation operator |