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ISSN 1088-6850(e) ISSN 0002-9947(p)

Extremal problems and symmetrization for plane ring domains

Author(s): A. Yu. Solynin; M. Vuorinen
Journal: Trans. Amer. Math. Soc. 348 (1996), 4095-4112.
MSC (1991): Primary 30C85; Secondary 31A15
MathSciNet review: 1333399
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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.

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