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Construction of polynomials on a number of pseudoconvex domains

Published online by Cambridge University Press:  26 February 2010

Satoru Watari
Satoru Watari
Affiliation:
Nihon University, 8–14, Kanda Surugadai, 1-chōme, Chiyoda-ku, Tokyo, 101, Japan.
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Extract

The purpose of this paper is to construct polynomials on ℂn which can approximate to the product of two holomorphic functions defined on a neighbourhood of any boundary point of a number of pseudoconvex domains in ℂn (called the “H-pseudoconvex domain”). It should be noted that we have only mentioned that the same conclusion holds true for a strictly pseudoconvex domain in the sense of Levi in [3, p. 109]. We shall begin with the definition of H-pseudoconvexity as follows, cf [3, p. 113].

Type
Research Article
Information
Mathematika , Volume 34 , Issue 2 , December 1987 , pp. 172 - 177
Copyright
Copyright © University College London 1987

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References

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3.Kranz, S. G.. Function theory of several complex variables (John Wiley, 1982).Google Scholar