Riesz transforms associated with the Hodge Laplacian in Lipschitz subdomains of Riemannian manifolds

DOI10.5802/aif.2642zbMath1239.42013OpenAlexW2335560528WikidataQ115159028 ScholiaQ115159028MaRDI QIDQ407782

Sylvie Monniaux, Marius Mitrea, Steven Hofmann

Publication date: 28 March 2012

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2011__61_4_1323_0/

zbMATH Keywords

Hodge LaplacianRiesz transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32)

Related Items

First Order Approach to $$L^p$$ L p Estimates for the Stokes Operator on Lipschitz Domains, \(L^p\)-analysis of the Hodge-Dirac operator associated with Witten Laplacians on complete Riemannian manifolds, Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in \(L^p\) spaces on Lipschitz domains, Existence in critical spaces for the magnetohydrodynamical system in 3D bounded Lipschitz domains

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