L−bounds for the Riesz Transforms Associated with the Hodge Laplacian in Lipschitz Subdomains of Riemannian Manifolds
نویسندگان
چکیده
We prove Lp-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 a (smooth) Riemannian manifoldM, for p in a certain interval depending on the Lipschitz character of the domain.
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تاریخ انتشار 2010