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Harmonic functions representation of Besov-Lipschitz functions on nested fractals
Umeå University, Faculty of Science and Technology, Department of Ecology and Environmental Sciences.
Institute of Mathematics University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland.
2010 (English)Report (Other academic)
Abstract [en]

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.

Place, publisher, year, edition, pages
2010. , 15 p.
Series
Research report in mathematics, ISSN 1653-0810 ; 2, 2010
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-36284OAI: oai:DiVA.org:umu-36284DiVA: diva2:353425
Available from: 2010-10-05 Created: 2010-09-27 Last updated: 2012-02-22Bibliographically approved

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Bodin, Mats
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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • nn-NB
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  • Other locale
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Output format
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