Maximal function on the dual of Laguerre hypergroup |
| |
| Authors: | Assal Miloud Rahmouni Atef Taieb Ahmed |
| |
| Affiliation: | 1. College of Science, Department of Mathematics, King Khalid University, Abha, 9004, KSA
2. Faculty of Sciences, Laboratoire Analyse math??matiques et Applications, Tunis El Manar University, Tunis, 2092, Tunisia
|
| |
| Abstract: | In this paper, we are interested in the Laguerre hypergroup $mathbb{K} = [0,infty ) times mathbb{R}$ which is the fundamental manifold of the radial function space for the Heisenberg group. So, we consider the generalized shift operator generated by the dual of the Laguerre hypergroup  $$bigcuplimits_{j in mathbb{N}} {left{ {(lambda ,mu ) in mathbb{R}^2 :mu = left| lambda right|(2j + alpha + 1),lambda ne 0} right} cup left{ {(0,mu ) in mathbb{R}^2 :mu geqslant 0} right}} ,$$ by means of which the maximal function is investigated. For 1 < p ?? ??, the L p (   | |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
