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
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 |
| 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 |