uu.seUppsala universitets publikasjoner
Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
A new characterization of chord-arc domains
University of Washington, Seattle, USA.
University of Missouri, Columbia, USA.
Instituto de Ciencias Matematicas, Madrid, Spain.
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Matematiska institutionen, Analys och sannolikhetsteori.
Vise andre og tillknytning
2017 (engelsk)Inngår i: Journal of the European Mathematical Society (Print), ISSN 1435-9855, E-ISSN 1435-9863, Vol. 19, nr 4, s. 967-981Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We show that if Ω⊂Rn+1, n≥1, is a uniform domain (also known as a 1-sided NTA domain), i.e., a domain which enjoys interior Corkscrew and Harnack Chain conditions, then uniform rectifiability of the boundary of Ω implies the existence of exterior corkscrew points at all scales, so that in fact, Ω is a chord-arc domain, i.e., a domain with an Ahlfors-David regular boundary which satisfies both interior and exterior corkscrew conditions, and an interior Harnack chain condition. We discuss some implications of this result for theorems of F. and M. Riesz type, and for certain free boundary problems.

sted, utgiver, år, opplag, sider
2017. Vol. 19, nr 4, s. 967-981
Emneord [en]
Chord-arc domains, NTA domains, 1-sided NTA domains, uniform domains, uniform rectifiability, Carleson measures, harmonic measure, A∞ Muckenhoupt weights
HSV kategori
Identifikatorer
URN: urn:nbn:se:uu:diva-226720DOI: 10.4171/JEMS/685ISI: 000402474800002OAI: oai:DiVA.org:uu-226720DiVA, id: diva2:727074
Forskningsfinansiär
EU, FP7, Seventh Framework Programme, 615112 HAPDEGMTSwedish Research CouncilTilgjengelig fra: 2014-06-19 Laget: 2014-06-19 Sist oppdatert: 2018-09-24bibliografisk kontrollert

Open Access i DiVA

Fulltekst mangler i DiVA

Andre lenker

Forlagets fulltekst

Personposter BETA

Nyström, Kaj

Søk i DiVA

Av forfatter/redaktør
Nyström, Kaj
Av organisasjonen
I samme tidsskrift
Journal of the European Mathematical Society (Print)

Søk utenfor DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 853 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf