On Maximal Function on the Laguerre Hypergroup

Guliyev, Vagif, and Assal, Miloud. "On Maximal Function on the Laguerre Hypergroup." Fractional Calculus and Applied Analysis 9.3 (2006): 307-318. <http://eudml.org/doc/11282>.

@article{Guliyev2006,
abstract = {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).},
author = {Guliyev, Vagif, Assal, Miloud},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Laguerre Hypergroup; Generalized Translation Operator; Fourier-Laguerre Transform; Maximal Function},
language = {eng},
number = {3},
pages = {307-318},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Maximal Function on the Laguerre Hypergroup},
url = {http://eudml.org/doc/11282},
volume = {9},
year = {2006},
}

TY - JOUR
AU - Guliyev, Vagif
AU - Assal, Miloud
TI - On Maximal Function on the Laguerre Hypergroup
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 3
SP - 307
EP - 318
AB - 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).
LA - eng
KW - Laguerre Hypergroup; Generalized Translation Operator; Fourier-Laguerre Transform; Maximal Function
UR - http://eudml.org/doc/11282
ER -