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Sobolev extensions of Hölder continuous and characteristic functions on metric spaces
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0002-9677-8321
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0002-1238-6751
Department of Mathematical Sciences University of Cincinnati.
2007 (English)In: Canadian Journal of Mathematics - Journal Canadien de Mathematiques, ISSN 0008-414X, E-ISSN 1496-2479, Vol. 59, no 6, 1135-1153 p.Article in journal (Refereed) Published
Abstract [en]

We study when characteristic and Holder continuous functions are traces of Sobolev functions on doubling metric measure spaces. We provide analytic and geometric conditions sufficient for extending characteristic and Hölder continuous functions into globally defined Sobolev functions. ©Canadian Mathematical Society 2007.

Place, publisher, year, edition, pages
2007. Vol. 59, no 6, 1135-1153 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-35888Local ID: 28913OAI: oai:DiVA.org:liu-35888DiVA: diva2:256736
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13

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Björn, AndersBjörn, Jana

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