Article ID Journal Published Year Pages File Type
4616412 Journal of Mathematical Analysis and Applications 2014 6 Pages PDF
Abstract

We show that the equality m1(f(x))=m2(g(x))m1(f(x))=m2(g(x)) for xx in a neighborhood of a point aa remains valid for all xx provided that ff and gg are open holomorphic maps, f(a)=g(a)=0f(a)=g(a)=0 and m1,m2m1,m2 are Minkowski functionals of bounded balanced domains. Moreover, a polynomial relation between ff and gg is obtained.As a consequence of our considerations we extend the main result of Berteloot and Patrizio (2000) [2] and we simplify its proof.We also show how to apply our results to quasi-balanced domains.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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