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Approximation by holomorphic functions on pseudoconvex domains with isolated degeneracies

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Abstract

Let D be a bounded domain with smooth boundary which is strictly pseudoconvex except at a finite number of points. It is shown that functions continuous on ¯D and holomorphic on D can be approximated uniformly on D by functions holomorphic on ¯D.

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Authors and Affiliations

  1. Department of Mathematics, State University of New York, 12222, Albany, New York, USA

    R. Michael Range

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  1. R. Michael Range
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Additional information

Author partially supported by NSF grant MPS 75-07062. While carrying out this research, the author was a visitor at the University of Washington in Seattle.

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Range, R.M. Approximation by holomorphic functions on pseudoconvex domains with isolated degeneracies. Manuscripta Math 20, 309–313 (1977). https://doi.org/10.1007/BF01171123

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  • DOI: https://doi.org/10.1007/BF01171123

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