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Fine continuity on metric spaces
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0002-1238-6751
2008 (English)In: Manuscripta mathematica, ISSN 0025-2611, E-ISSN 1432-1785, Vol. 125, no 3, 369-381 p.Article in journal (Refereed) Published
Abstract [en]

We obtain pointwise estimates for solutions of obstacle problems on metric measure spaces and prove that p-superharmonic functions are p-finely continuous. Consequently, we show that p-quasicontinuous functions are p-finely continuous at p-quasievery point. As a byproduct, we obtain the sufficiency part of the Wiener criterion in metric spaces without the assumption of linear local connectedness. © 2007 Springer-Verlag.

Place, publisher, year, edition, pages
2008. Vol. 125, no 3, 369-381 p.
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Engineering and Technology
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URN: urn:nbn:se:liu:diva-46800DOI: 10.1007/s00229-007-0154-7OAI: oai:DiVA.org:liu-46800DiVA: diva2:267696
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Björn, Jana

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