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 language | English |
|---|---|
| Pages (from-to) | 4095-4112 |
| Number of pages | 18 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 348 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1996 |
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Cite this
Solynin, A. Y. U., & Vuorinen, M. (1996). EXTREMAL PROBLEMS and SYMMETRIZATION for PLANE RING DOMAINS. Transactions of the American Mathematical Society, 348(10), 4095-4112. https://doi.org/10.1090/s0002-9947-96-01546-2