TY - JOUR
T1 - EXTREMAL PROBLEMS and SYMMETRIZATION for PLANE RING DOMAINS
AU - Solynin, A. Y.U.
AU - Vuorinen, M.
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 1996
Y1 - 1996
N2 - We show that Teichmüller's classical lower bound for the capacity of a ring domain, obtained by circular symmetrization, can be replaced by an explicit one which is almost always better. The proof is based on a duplication formula for the solution of an associated extremal problem. Some inequalities are obtained for conformal invariants.
AB - We show that Teichmüller's classical lower bound for the capacity of a ring domain, obtained by circular symmetrization, can be replaced by an explicit one which is almost always better. The proof is based on a duplication formula for the solution of an associated extremal problem. Some inequalities are obtained for conformal invariants.
UR - http://www.scopus.com/inward/record.url?scp=21444456042&partnerID=8YFLogxK
U2 - 10.1090/s0002-9947-96-01546-2
DO - 10.1090/s0002-9947-96-01546-2
M3 - Article
AN - SCOPUS:21444456042
VL - 348
SP - 4095
EP - 4112
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 10
ER -