EXTREMAL PROBLEMS and SYMMETRIZATION for PLANE RING DOMAINS

A. Y.U. Solynin, M. Vuorinen

Research output: Contribution to journalArticle

11 Scopus citations

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.

Original languageEnglish
Pages (from-to)4095-4112
Number of pages18
JournalTransactions of the American Mathematical Society
Volume348
Issue number10
DOIs
StatePublished - 1996

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