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Mappings of finite distortion: Hausdorff measure of zero sets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F02%3A00003810" target="_blank" >RIV/00216208:11320/02:00003810 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Mappings of finite distortion: Hausdorff measure of zero sets

  • Original language description

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

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F00%2F0767" target="_blank" >GA201/00/0767: Theory of real functions and distributions</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2002

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Mathematische Annalen

  • ISSN

    0025-5831

  • e-ISSN

  • Volume of the periodical

    2002

  • Issue of the periodical within the volume

    324

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    14

  • Pages from-to

    451-464

  • UT code for WoS article

  • EID of the result in the Scopus database