On fractional maximal function and fractional integral on the Laguerre hypergroup
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
M. N. Omarova Baku State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Analysis and Applications (Q1) | ||
| Dergi ISSN | 0022-247X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2008 |
| Cilt / Sayı / Sayfa | 340 / 2 / 1058–1068 | DOI | 10.1016/j.jmaa.2007.09.012 |
| Makale Linki | https://www.sciencedirect.com/science/article/pii/S0022247X07011286 | ||
| Özet |
| Let K=[0,∞)×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 and the fractional integral operator on the Laguerre hypergroup from the spaces Lp(K) to the spaces Lq(K) and from the spaces L1(K) to the weak spaces WLq(K). |
| Anahtar Kelimeler |
| Besov space | Fourier-Laguerre transform | Fractional integral operator | Fractional maximal operator | Generalized translation operator | Laguerre hypergroup |
Science Direct
On fractional maximal function and fractional integral on the Laguerre hypergroup
| Atıf Sayıları | |
| Google Scholar | 20 |
| Web of Science | 6 |