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.

Original languageEnglish
Pages (from-to)161-174
Number of pages14
JournalSbornik Mathematics
Volume206
Issue number1
DOIs
StatePublished - 2015

    Research areas

  • Carathéodory domain, Equality in the sense of conformal mappings, Maximum modulus principle, Meromorphic functions

    Scopus subject areas

  • Algebra and Number Theory

ID: 86669489