Laguerre Hypergroup Generalized Translation Operator Fourier-Laguerre Transform Maximal 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.
