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The Mergelyan property for weakly pseudoconvex domains

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Abstract

We show that pseudoconvex domains have the Mergelyan property if the Levi form is degenerate on a sufficiently small set in the boundary. This includes the case when the weakly pseudoconvex points all lie on a smooth curve.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Fine Hall Box 37, 08540, Princeton, New Jersey, USA

    John Erik Fornaess

  2. Department of Mathematics, University of Wisconsin, 53706, Madison, Wisconsin, USA

    Alexander Nagel

Authors
  1. John Erik Fornaess
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  2. Alexander Nagel
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Fornaess, J.E., Nagel, A. The Mergelyan property for weakly pseudoconvex domains. Manuscripta Math 22, 199–208 (1977). https://doi.org/10.1007/BF01167861

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  • DOI: https://doi.org/10.1007/BF01167861

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