Ontology type: schema:ScholarlyArticle
2000-05
AUTHORSTero Kilpeläinen, Juha Kinnunen, Olli Martio
ABSTRACTWe generalize the definition of the first order Sobolev spaces with zero boundary values to an arbitrary metric space endowed with a Borel regular measure. We show that many classical results extend to the metric setting. These include completeness, lattice properties and removable sets.
PAGES233-247
http://scigraph.springernature.com/pub.10.1023/a:1008601220456
DOIhttp://dx.doi.org/10.1023/a:1008601220456
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