EXTREMAL PROBLEMS and SYMMETRIZATION for PLANE RING DOMAINS



: Solynin A., Vuorinen M.

: 1996

 Transactions of the American Mathematical Society

: Transactions of the American Mathematical Society

: 348

: 10

: 4095

: 4112

: 18

: 0002-9947

: http://api.elsevier.com/content/abstract/scopus_id:21444456042


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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