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On dominating sets for uniform algebra on pseudoconvex domains
Journal article

On dominating sets for uniform algebra on pseudoconvex domains

So-Chin Chen
Pure and Applied Mathematics Quarterly, Vol.6(3), pp.715-724
07/2010

Abstract

Dominating set Peak function Pseudoconvex domain Shilov boundary Uniform algebra
In this article we study the dominating phenomenon for uniform algebra on pseudoconvex domains in several complex variables. We prove that a subset Ē of a bounded domain D is a dominating set for A(D) if and only if E contains the Shilov boundary S(D) of A(D).

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