A1 Refereed original research article in a scientific journal
EXTREMAL PROBLEMS and SYMMETRIZATION for PLANE RING DOMAINS
Authors: Solynin A., Vuorinen M.
Publication year: 1996
Journal:: Transactions of the American Mathematical Society
Journal name in source: Transactions of the American Mathematical Society
Volume: 348
Issue: 10
First page : 4095
Last page: 4112
Number of pages: 18
ISSN: 0002-9947
Web address : http://api.elsevier.com/content/abstract/scopus_id:21444456042
Abstract
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. © 1996 American Mathematical Society.
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. © 1996 American Mathematical Society.
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