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Distortion of area and dimension under quasiconformal mappings in the plane.

We find the exact estimates for the distortion of area and Hausdorff dimension under a K-quasiconformal mapping of the complex plane. This solves also the problem of finding the precise bound p(K) of the exponents p such that for each planar K-quasiconformal mapping f the Jacobian Jf is locally p-in...

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Hlavní autor: Astala, K
Médium: Artigo
Jazyk:Inglês
Vydáno: 1993
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC48104/
https://ncbi.nlm.nih.gov/pubmed/11607447
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