Unique determination of conformal type for domains. III

A. P. Kopylov

Research output: Contribution to journalArticlepeer-review

Abstract

The article is the third (final) part of a review series entitled “Unique determination of conformal type for domains,” initiated by the author’s eponymous paper, published in Sib. Elektron. Mat. Izv., 16, 692-708 (2019). The main result of the present article is that for n < 3, any n-connected plane domain U is uniquely determined by the relative conformal moduli of pairs of boundary components.

Original languageEnglish
Pages (from-to)104-111
Number of pages8
JournalSiberian Electronic Mathematical Reports
Volume18
DOIs
Publication statusPublished - 2021

Keywords

  • finitely connected plane domain
  • relative conformal modulus of pairs of boundary components
  • Teichmuller and Grötzsch extremal domains

OECD FOS+WOS

  • 1.01 MATHEMATICS

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