Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Quasiopen and p-Path Open Sets, and Characterizations of Quasicontinuity
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-9677-8321
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-1238-6751
University of JE Purkyne, Czech Republic.
2017 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, Vol. 46, no 1, p. 181-199Article in journal (Refereed) Published
Abstract [en]

In this paper we give various characterizations of quasiopen sets and quasicontinuous functions on metric spaces. For complete metric spaces equipped with a doubling measure supporting a p-Poincar, 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.

Place, publisher, year, edition, pages
SPRINGER , 2017. Vol. 46, no 1, p. 181-199
Keywords [en]
Analytic set; Characterization; Doubling measure; Fine potential theory; Metric space; Newtonian space; Nonlinear potential theory; Poincare inequality; p-path open; Quasicontinuous; Quasiopen; Sobolev space; Suslin set
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-134615DOI: 10.1007/s11118-016-9580-zISI: 000392303500011OAI: oai:DiVA.org:liu-134615DiVA, id: diva2:1075950
Note

Funding Agencies|Swedish Research Council; Department of Mathematical Analysis

Available from: 2017-02-21 Created: 2017-02-21 Last updated: 2017-11-29

Open Access in DiVA

fulltext(315 kB)37 downloads
File information
File name FULLTEXT01.pdfFile size 315 kBChecksum SHA-512
abbe84ce24b901b82a2cbafa42ea03c9a8b80bbd704a8766461c32f2a4f2acc12c4dcb30026654b42ee86466f8d79aba910782ec5ad870d42840a6216f80149f
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Björn, AndersBjörn, Jana
By organisation
Mathematics and Applied MathematicsFaculty of Science & Engineering
In the same journal
Potential Analysis
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 37 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 86 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf