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.
- finitely connected plane domain
- relative conformal modulus of pairs of boundary components
- Teichmuller and Grötzsch extremal domains
- 1.01 MATHEMATICS