L p −BOUNDS FOR THE RIESZ TRANSFORMS ASSOCIATED WITH THE HODGE LAPLACIAN IN LIPSCHITZ SUBDOMAINS OF RIEMANNIAN MANIFOLDS - Archive ouverte HAL Access content directly
Journal Articles Annales de l'Institut Fourier Year : 2011

L p −BOUNDS FOR THE RIESZ TRANSFORMS ASSOCIATED WITH THE HODGE LAPLACIAN IN LIPSCHITZ SUBDOMAINS OF RIEMANNIAN MANIFOLDS

Abstract

We prove L p-bounds for the Riesz transforms d/ √ −∆, δ/ √ −∆ associated with the Hodge-Laplacian ∆ = −δd − dδ equipped with absolute and relative boundary conditions in a Lipschitz subdomain Ω of (smooth) Riemannian manifold M, for p in a certain interval depending on the Lipschitz character of the domain.
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Dates and versions

hal-01285349 , version 1 (09-03-2016)

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  • HAL Id : hal-01285349 , version 1

Cite

Steve Hofmann, Marius Mitrea, Sylvie Monniaux. L p −BOUNDS FOR THE RIESZ TRANSFORMS ASSOCIATED WITH THE HODGE LAPLACIAN IN LIPSCHITZ SUBDOMAINS OF RIEMANNIAN MANIFOLDS. Annales de l'Institut Fourier, 2011, 61 (4), pp.1323-1349. ⟨hal-01285349⟩
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