TY - JOUR
T1 - Unique determination of conformal type for domains. II
AU - Kopylov, Anatolii Pavlovich
N1 - Publisher Copyright:
© 2019 Kopylov A.P.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - 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.
AB - 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.
KW - Boundary condenser
KW - Conformal mapping
KW - Isometric mapping
KW - P-modulus of a family of paths
KW - Quasiconformal mapping
KW - Unique determination
UR - http://www.scopus.com/inward/record.url?scp=85083383248&partnerID=8YFLogxK
U2 - 10.33048/SEMI.2019.16.082
DO - 10.33048/SEMI.2019.16.082
M3 - Article
AN - SCOPUS:85083383248
VL - 16
SP - 1205
EP - 1214
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
ER -