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Luzin's condition (N) and modulus of continuity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10318978" target="_blank" >RIV/00216208:11320/15:10318978 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1515/acv-2013-0024" target="_blank" >http://dx.doi.org/10.1515/acv-2013-0024</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1515/acv-2013-0024" target="_blank" >10.1515/acv-2013-0024</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Luzin's condition (N) and modulus of continuity

  • Original language description

    In this paper, we establish Luzin's condition (N) for mappings in certain Sobolev-Orlicz spaces with certain moduli of continuity. Further, given a mapping in these Sobolev-Orlicz spaces, we give bounds on the size of the exceptional set where Luzin's condition (N) may fail. If a mapping violates Luzin's condition (N), we show that there is a Cantor set of measure zero that is mapped to a set of positive measure.

  • 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

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Advances in Calculus of Variations

  • ISSN

    1864-8258

  • e-ISSN

  • Volume of the periodical

    8

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    17

  • Pages from-to

    155-171

  • UT code for WoS article

    000352140600003

  • EID of the result in the Scopus database

    2-s2.0-84926647577