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Hölder andL p-estimates for the\(\bar \partial \)-equation on non-smooth strictlyq-convex domainson non-smooth strictlyq-convex domains

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Abstract

A solution operator for the\(\bar \partial \)-equation on strictlyq-convex domains with nonsmooth boundary is constructed. It is proved that the solution satisfies optimal 1/2-Hölder andL p estimates.

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  1. Mathematische Institut der Universität Bonn, Beringstraße 6, 5300, Bonn 1, Federal Republic of Germany

    Lan Ma

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  1. Lan Ma
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Ma, L. Hölder andL p-estimates for the\(\bar \partial \)-equation on non-smooth strictlyq-convex domainson non-smooth strictlyq-convex domains. Manuscripta Math 74, 177–193 (1992). https://doi.org/10.1007/BF02567666

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  • DOI: https://doi.org/10.1007/BF02567666

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