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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.
2012 (English)In: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, E-ISSN 1798-2383, Vol. 37, no 2, 509-523 p.Article in journal (Refereed) Published
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 Holder-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
2012. Vol. 37, no 2, 509-523 p.
Keyword [en]
Besov spaces, Besov functions, Holder functions, nested fractals, harmonic functions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-61235DOI: 10.5186/aasfm.2012.3735ISI: 000309027100012OAI: oai:DiVA.org:umu-61235DiVA: diva2:565395
Available from: 2012-11-07 Created: 2012-11-07 Last updated: 2017-12-07Bibliographically approved

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