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Luzin's condition (N) and Sobolev mappings

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10130469" target="_blank" >RIV/00216208:11320/12:10130469 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.ems-ph.org/journals/show_issue.php?issn=1120-6330&vol=23&iss=4" target="_blank" >http://www.ems-ph.org/journals/show_issue.php?issn=1120-6330&vol=23&iss=4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4171/RLM/639" target="_blank" >10.4171/RLM/639</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Luzin's condition (N) and Sobolev mappings

  • Original language description

    For the purpose of change of variables in integral, it is important to know how to verify Luzin's condition (N) for Sobolev mappings. It this article we survey some results on this topic sorted according to the method. We discuss the method of absolute continuity, results obtained via degree and results based on the interplay between integrability and modulus of continuity.

  • 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/GAP201%2F12%2F0436" target="_blank" >GAP201/12/0436: Theory of Real Functions and Descriptive Set Theory III</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni

  • ISSN

    1120-6330

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    IT - ITALY

  • Number of pages

    11

  • Pages from-to

    455-465

  • UT code for WoS article

  • EID of the result in the Scopus database