Unique determination of conformal type for domains. II

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Abstract

The article is the second 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 any convex bounded polyhedral domain in the three-dimensional Euclidean space is uniquely determined by the relative conformal moduli of its boundary condensers.

Original languageEnglish
Pages (from-to)1205-1214
Number of pages10
JournalSiberian Electronic Mathematical Reports
Volume16
DOIs
Publication statusPublished - 1 Sep 2019

Keywords

  • Boundary condenser
  • Conformal mapping
  • Isometric mapping
  • P-modulus of a family of paths
  • Quasiconformal mapping
  • Unique determination

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