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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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Astala, K
Format: Artigo
Sprache:Inglês
Veröffentlicht: 1993
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.gov/pmc/articles/PMC48104/
https://ncbi.nlm.nih.gov/pubmed/11607447
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