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The \(\overline \partial \)-Neumann operator on Lipschitz q-pseudoconvex domains

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Abstract

On a bounded q-pseudoconvex domain Ω in ℂn with a Lipschitz boundary, we prove that the \(\overline \partial \)-Neumann operator N satisfies a subelliptic (1/2)-estimate on Ω and N can be extended as a bounded operator from Sobolev (−1/2)-spaces to Sobolev (1/2)-spaces.

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Authors and Affiliations

  1. Beni-Suef, Egypt

    Sayed Saber

  2. Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

    Sayed Saber

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  1. Sayed Saber
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Saber, S. The \(\overline \partial \)-Neumann operator on Lipschitz q-pseudoconvex domains. Czech Math J 61, 721–731 (2011). https://doi.org/10.1007/s10587-011-0021-2

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  • DOI: https://doi.org/10.1007/s10587-011-0021-2

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