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
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
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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