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Harmonic functions representation of Besov-Lipschitz functions on nested fractals

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  • Additional Information
    • Publication Information:
      Institutionen för ekologi, miljö och geovetenskap
      Institute of Mathematics University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland
    • Publication Date:
      2010
    • Collection:
      Umeå University: Publications (DiVA)
    • Abstract:
      R. S. Strichartz proposes a discrete definition of Besov spaces on self-similar fractals having a regular harmonic structure. In this paper, we characterize some of these Hölder-Zygmund and Besov-Lipschitz functions on nested fractals by means of the magnitude of the coefficients of the expansion of a function in a continuous piecewise harmonic base.
    • File Description:
      application/pdf
    • Relation:
      Research report in mathematics, 1653-0810; 2, 2010; http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-36284
    • Online Access:
      http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-36284
    • Rights:
      info:eu-repo/semantics/openAccess
    • Accession Number:
      edsbas.D3A22632