Beltrami equations with coefficient in the Sobolev space \(W^{1,p}\) (Q998736)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Beltrami equations with coefficient in the Sobolev space \(W^{1,p}\) |
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Beltrami equations with coefficient in the Sobolev space \(W^{1,p}\) (English)
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29 January 2009
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The main result of the paper is that quasiconformal mappings with compactly supported Beltrami coefficient \(\mu\in W^{1, p}\), \(\|\mu\|_{\infty}\leq\frac{K-1}{K+1}<1 \), \(\frac{2K^2}{K^2+1}<p\leq 2\), preserve compact sets of \(\sigma\)-finite length and vanishing analytic capacity.
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quasiconformal map
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Hausdorff measure
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removability
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