Proper holomorphic mappings in the special class of Reinhardt domains

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Proper Holomorphic Mappings in the Special Class of Reinhardt Domains

A complete characterization of proper holomorphic mappings between domains from the class of all pseudoconvex Reinhardt domains in C with the logarithmic image equal to a strip or a half-plane is given. 1. Statement of results We adopt here the standard notations from complex analysis. Given γ = (γ1, γ2) ∈ R 2 and z = (z1, z2) ∈ C 2 for which it makes sense we put |z | = |z1| γ1 |z2| γ2 . The u...

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ژورنال

عنوان ژورنال: Annales Polonici Mathematici

سال: 2007

ISSN: 0066-2216,1730-6272

DOI: 10.4064/ap92-3-7