(Lp, Lq) boundedness of the fractional maximal operator on the Laguerre hypergroup
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Baku 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 | 01-2008 |
| Cilt / Sayı / Sayfa | 19 / 9 / 633–641 | DOI | 10.1080/10652460801948882 |
| Özet |
| Let = [0, infinity) x R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group. In this paper we obtain necessary and sufficient conditions on the parameters for the boundedness of the fractional maximal operator on the Laguerre hypergroup from the spaces L-p(K) to the spaces L-q(K) and from the spaces L-1(K) to the weak spaces WLq(K). |
| Anahtar Kelimeler |
| Fourier-Laguerre transform | Fractional integral operator | Fractional maximal operator | Generalized translation operator | Laguerre hypergroup |