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A construction of peak functions on locally convex domains in Cn

Published online by Cambridge University Press:  22 January 2016

Sanghyun Cro
Sanghyun Cro*
Affiliation:
Department of Mathematics Edu, Pusan University, Pusan 609-735, Korea E-mail: cho@hyowon.cc.pusan.ac.kr
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Let Ω be a smoothly bounded pseudoconvex domain in Cn and let A(Ω) denote the functions holomorphic on Ω and continuous on . A point p ∈ bΩ is a peak point if there is a function f ∈ A(Ω) such that f (p) = 1, and | f(z) | < 1 for z ∉ Ω − {p}.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 140 , December 1995 , pp. 167 - 176
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

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