Sobolev Spaces with Zero Boundary Values on Metric Spaces View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2000-05

AUTHORS

Tero Kilpeläinen, Juha Kinnunen, Olli Martio

ABSTRACT

We 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.

PAGES

233-247

References to SciGraph publications

  • 1996-08. Sobolev spaces on an arbitrary metric space in POTENTIAL ANALYSIS
  • 1996-11. Monotone functions and quasiconformal mappings on Carnot groups in SIBERIAN MATHEMATICAL JOURNAL
  • Journal

    TITLE

    Potential Analysis

    ISSUE

    3

    VOLUME

    12

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1023/a:1008601220456

    DOI

    http://dx.doi.org/10.1023/a:1008601220456

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1013855764


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