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The Mergelyan property for weakly pseudoconvex domains

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1977 Germany Publisher:Springer Science and Business Media LLCJournal:Manuscripta Mathematica, volume 22, pages 199-208 (issn: 0025-2611, eissn: 1432-1785,

Authors: Fornaess, J.E.; Nagel, A.;

doi: 10.1007/bf01167861

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.

Country

Germany

Related Organizations

University of Wisconsin–Oshkosh
United States
College of New Jersey
United States
DigiZeitschriften
Germany

Keywords

510.mathematics, C3-Space Boundary, Weakly Pseudoconvex Domains, Pseudoconvex domains, Mergelyan Property, Article, Algebras of holomorphic functions of several complex variables

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