Poincaré lemma and global homotopy formulas with sharp anisotropic Hölder estimates in q-concave CR manifolds

preprint2008arXivOpen access

Abstract

We prove sharp anisotropic Hölder estimates for the local solutions of the tangential Cauchy-Riemann equation in q-concave CR manifolds and we derive the same kind of estimates for global solutions when the manifold is compact.

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