Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1285

 Title: On Maximal Function on the Laguerre Hypergroup Authors: Guliyev, VagifAssal, Miloud Keywords: Laguerre HypergroupGeneralized Translation OperatorFourier-Laguerre TransformMaximal Function Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 3, (2006), 307p-318p Abstract: 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 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. Description: 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35 URI: http://hdl.handle.net/10525/1285 ISSN: 1311-0454 Appears in Collections: 2006

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