| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
M. N. Omarova
|
| Özet |
| Let K = [0, infinity) x R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisen-berg 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 L-p(K) to the spaces L-q(K) and from the spaces L-1(K) to the weak spaces WLq(K). (c) 2007 Elsevier Inc. All rights reserved. |
| Anahtar Kelimeler |
| Besov space | Fourier-Laguerre transform | Fractional integral operator | Fractional maximal operator | Generalized translation operator | Laguerre hypergroup |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Dergi ISSN | 0022-247X |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2008 |
| Cilt No | 340 |
| Sayı | 2 |
| Sayfalar | 1058 / 1068 |
| Doi Numarası | 10.1016/j.jmaa.2007.09.012 |
| Atıf Sayıları | |
| WoS | 6 |
| SCOPUS | 8 |
| Google Scholar | 21 |
