Holomorphic mappings preserving Minkowski functionals |
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Authors: | Łukasz Kosiński |
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Affiliation: | Institute of Mathematics, Jagiellonian University, ?ojasiewicza 6, 30-348 Kraków, Poland |
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Abstract: | We show that the equality m1(f(x))=m2(g(x)) for x in a neighborhood of a point a remains valid for all x provided that f and g are open holomorphic maps, f(a)=g(a)=0 and m1,m2 are Minkowski functionals of bounded balanced domains. Moreover, a polynomial relation between f and g is obtained. |
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Keywords: | Minkowski functionals Balanced domains quasi-circular domains Open maps Proper holomorphic maps |
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