The Hodge-de Rham Laplacian and \(L^p\)-boundedness of Riesz transforms on non-compact manifolds

DOI10.1016/j.na.2015.05.010zbMath1347.42024arXiv1411.0137OpenAlexW866763507MaRDI QIDQ495218

El Maati Ouhabaz, Jocelyn Magniez, Peng Chen

Publication date: 9 September 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0137

zbMATH Keywords

Schrödinger operatorsRiemannian manifoldsHardy spacesheat kernelRiesz transformsHodge-de Rham Laplacian

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Harmonic analysis and PDEs (42B37)

Related Items (8)

Riesz transforms through reverse Hölder and Poincaré inequalities ⋮ \(L^p\)-estimates for the heat semigroup on differential forms, and related problems ⋮ Heat kernel and Riesz transform of Schrödinger operators ⋮ Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles ⋮ \(L^p\)-analysis of the Hodge-Dirac operator associated with Witten Laplacians on complete Riemannian manifolds ⋮ Riesz transform via heat kernel and harmonic functions on non-compact manifolds ⋮ Gaussian heat kernel estimates: from functions to forms ⋮ Littlewood-Paley-Stein functions for Hodge-de Rham and Schrödinger operators

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