Boundedness from \(H^1\) to \(L^1\) of Riesz transforms on a Lie group of exponential growth

DOI10.5802/aif.2380zbMath1181.43003arXiv0709.4347OpenAlexW1655704955WikidataQ115159037 ScholiaQ115159037MaRDI QIDQ933631

Peter Sjögren, Maria Vallarino

Publication date: 24 July 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4347

zbMATH Keywords

Hardy spaceLie groupssingular integralsexponential growthRiesz transforms

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on real and complex Lie groups (22E30) (H^p)-spaces (42B30) Analysis on other specific Lie groups (43A80)

Related Items

Riesz transforms on \(ax+b\) groups ⋮ Riesz transform for a flow Laplacian on homogeneous trees ⋮ Local and non‐local Poincaré inequalities on Lie groups ⋮ Equivalent characterizations for boundedness of maximal singular integrals on \(ax+b\)-groups ⋮ Dyadic sets, maximal functions and applications on \(ax + b\)-groups ⋮ Atomic and Maximal Hardy Spaces on a Lie Group of Exponential Growth ⋮ Weak type (1,1) bounds for some operators related to the Laplacian with drift on real hyperbolic spaces ⋮ Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound ⋮ Sobolev algebras on nonunimodular Lie groups ⋮ Riesz transforms on solvable extensions of stratified groups ⋮ Hardy spaces on homogeneous trees with flow measures ⋮ Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space

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