Quasiopen and p-path open sets, and characterizations of quasicontinuity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F17%3A43892957" target="_blank" >RIV/44555601:13440/17:43892957 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007%2Fs11118-016-9580-z.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs11118-016-9580-z.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11118-016-9580-z" target="_blank" >10.1007/s11118-016-9580-z</a>
Alternative languages
Result language
angličtina
Original language name
Quasiopen and p-path open sets, and characterizations of quasicontinuity
Original language description
In this paper we give various characterizations of quasiopen sets and quasicon- tinuous functions on metric spaces. For complete metric spaces equipped with a doubling measure supporting a p-Poincar ?e inequality we show that quasiopen and p-path open sets coincide. Under the same assumptions we show that all Newton-Sobolev functions on quasiopen sets are quasicontinuous.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Potential Analysis
ISSN
0926-2601
e-ISSN
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Volume of the periodical
46
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
19
Pages from-to
181-199
UT code for WoS article
000392303500011
EID of the result in the Scopus database
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