On maximal function on the Laguerre hypergroup
Yazarlar (2)
Miloud Assal
| Makale Türü | Özgün Makale (Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale) | ||
| Dergi Adı | Fractional Calculus and Applied Analysis | ||
| Dergi Tarandığı Indeksler | |||
| Makale Dili | İngilizce | Basım Tarihi | 01-2006 |
| Cilt / Sayı / Sayfa | 9 / 3 / 307–318 | DOI | – |
| Özet |
| top 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35Let 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 consider the generalized shift operator, generated by Laguerre hypergroup, by means of which the maximal function is investigated. For 1< p≤∞ the Lp (K)-boundedness and weak L1 (K)-boundedness result for the maximal function is obtained.* V. Guliyev partially supported by grant of INTAS (Project 05-1000008-8157). |
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