Fine continuity on metric spaces
2008 (English)In: Manuscripta mathematica, ISSN 0025-2611, Vol. 125, no 3, 369-381 p.Article in journal (Refereed) Published
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.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-46800DOI: 10.1007/s00229-007-0154-7OAI: oai:DiVA.org:liu-46800DiVA: diva2:267696