Geodesic
Carathéodory domains and Rudin's converse of the maximum modulus principle
Sbornik. Mathematics, Tome 206 (2015) no. 1, pp. 161-174 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain extensions of the classical Rudin theorem on the converse of the maximum modulus principle from the unit disc to Carathéodory domains. The proofs are based on recent results about properties of conformal mappings of Carathéodory domains, which are also considered in the paper. Bibliography: 18 titles.
Keywords: maximum modulus principle, meromorphic functions, equality in the sense of conformal mappings.
Mots-clés : Carathéodory domain 
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K. Yu. Fedorovskiy. Carathéodory domains and Rudin's converse of the maximum modulus principle. Sbornik. Mathematics, Tome 206 (2015) no. 1, pp. 161-174. http://geodesic.mathdoc.fr/item/SM_2015_206_1_a9/

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