Fonctions maximales centrées de Hardy-Littlewood sur les groupes de Heisenberg

Hong-Quan Li

Studia Mathematica (2009)

  • Volume: 191, Issue: 1, page 89-100
  • ISSN: 0039-3223

Abstract

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By getting uniformly asymptotic estimates for the Poisson kernel on Heisenberg groups ℍ 2 n + 1 , we prove that there exists a constant A > 0, independent of n ∈ ℕ*, such that for all f ∈ L ¹ ( ℍ 2 n + 1 ) , we have | | M f | | L 1 , ∞ ≤ A n | | f | | ₁ , where M denotes the centered Hardy-Littlewood maximal function defined by the Carnot-Carathéodory distance or by the Korányi norm.

How to cite

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Hong-Quan Li. "Fonctions maximales centrées de Hardy-Littlewood sur les groupes de Heisenberg." Studia Mathematica 191.1 (2009): 89-100. <http://eudml.org/doc/285304>.

@article{Hong2009,
author = {Hong-Quan Li},
journal = {Studia Mathematica},
language = {fre},
number = {1},
pages = {89-100},
title = {Fonctions maximales centrées de Hardy-Littlewood sur les groupes de Heisenberg},
url = {http://eudml.org/doc/285304},
volume = {191},
year = {2009},
}

TY - JOUR
AU - Hong-Quan Li
TI - Fonctions maximales centrées de Hardy-Littlewood sur les groupes de Heisenberg
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 1
SP - 89
EP - 100
LA - fre
UR - http://eudml.org/doc/285304
ER -

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