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

• Autorzy: Hong-Quan Li
• Języki publikacji: FR EN

Abstrakty

EN

By getting uniformly asymptotic estimates for the Poisson kernel on Heisenberg groups $ℍ_{2n+1}$, we prove that there exists a constant A > 0, independent of n ∈ ℕ*, such that for all $f ∈ L¹(ℍ_{2n+1})$, we have $||Mf||_{L^{1,∞}} ≤ An||f||₁$, where M denotes the centered Hardy-Littlewood maximal function defined by the Carnot-Carathéodory distance or by the Korányi norm.

Kategorie tematyczne

• 43A80: Analysis on other specific Lie groups
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 191
• Numer: 1
• Strony: 89-100

Daty

wydano

2009

Twórcy

autor

Hong-Quan Li

• School of Mathematical Sciences, Fudan University, 220 Handan Road, Shanghai 200433, People's Republic of China

Identyfikatory

DOI

10.4064/sm191-1-7