| Autor: |
Bhayo, B. A., Vuorinen, M. |
| Předmět: |
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| Zdroj: |
Transactions of the American Mathematical Society; Jun2011, Vol. 363 Issue 11, p5703-5719, 17p |
| Abstrakt: |
R. Fehlmann and M. Vuorinen proved in 1988 that Mori's constant $ M(n,K)$-quasiconformal maps of the unit ball in $ \mathbf{R}^n$ $ M(n,K) \to 1$ Here we give an alternative proof of this fact, with a quantitative upper bound for the constant in terms of elementary functions. Our proof is based on a refinement of a method due to G.D. Anderson and M. K. Vamanamurthy. We also give an explicit version of the Schwarz lemma for quasiconformal self-maps of the unit disk. Some experimental results are provided to compare the various bounds for the Mori constant when $ n=2.$ [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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