The boundary absolute continuity of quasiconformal mappings. II (Q679202)
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scientific article; zbMATH DE number 1002169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The boundary absolute continuity of quasiconformal mappings. II |
scientific article; zbMATH DE number 1002169 |
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The boundary absolute continuity of quasiconformal mappings. II (English)
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8 October 1997
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In an earlier paper [Am. J. Math. 116, 1545-1567 (1994; Zbl 0822.30022)] the author studied conditions under which a quasiconformal map \(f : B^n \to R^n \) of the unit ball \(B^n \subset R^n\) has absolutely continuous boundary values. Here he proves further results along the same lines and constructs, for each \(n \geq 3, \) a quasiconformal map of \(B^n\) onto a Jordan domain with \((n-1)\)-rectifiable boundary such that the boundary values are not absolutely continuous. \bigskip.
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quasiconformal maps
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distortion theorems
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