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Hölder and L estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.

Josep M. Burgués Badía — 1990

Publicacions Matemàtiques

Let D be a bounded strict pseudoconvex non-smooth domain in C. In this paper we prove that the estimates in L and Lipschitz classes for the solutions of the ∂-equation with L-data in regular strictly pseudoconvex domains (see [2]) are also valid for D. We also give estimates of the same type for the ∂ in the regular part of the boundary of these domains.

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