A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
EXTREMAL PROBLEMS and SYMMETRIZATION for PLANE RING DOMAINS
Tekijät: Solynin A., Vuorinen M.
Julkaisuvuosi: 1996
Lehti:: Transactions of the American Mathematical Society
Tietokannassa oleva lehden nimi: Transactions of the American Mathematical Society
Vuosikerta: 348
Numero: 10
Aloitussivu: 4095
Lopetussivu: 4112
Sivujen määrä: 18
ISSN: 0002-9947
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:21444456042
Tiivistelmä
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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