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Mappings of finite distortion: Hausdorff measure of zero sets

Publikace |
2002

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

We prove that for a mapping $f$ of finite distortion $K\in L^{p/(n-p)}$, the $(n-p)$-Hausdorff measure of any point preimage is zero provided $J_f$ is integrable, $Df\in L^s$ with $s>p$, and the multiplicity of $f$ is essentially bounded.