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Piecewise linear bases and Besov spaces on fractal sets
Umeå University, Faculty of Science and Technology, Department of mathematics.
2001 (English)In: Analysis Mathematica, ISSN 0133-3852, E-ISSN 1588-273X, Vol. 27, no 2, 77-117 p.Article in journal (Refereed) Published
Abstract [en]

For a class of closed sets FRn admitting a regular sequence of triangulations or generalized triangulations, the analogues on F of the Faber—Schauder and Franklin bases are discussed. The characterizations of the Besov spaces on F in the terms of coefficients of functions with respect to these bases are proved. As a consequence, analogous characterizations of the Besov spaces on some fractal domains (including the Sierpinski gasket and the von Koch curve) by coefficients of functions with respect to the wavelet bases constructed in [26] are obtained.

Place, publisher, year, edition, pages
2001. Vol. 27, no 2, 77-117 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-19709DOI: 10.1023/A:1014334924583OAI: oai:DiVA.org:umu-19709DiVA: diva2:202393
Available from: 2009-03-10 Created: 2009-03-10 Last updated: 2017-12-13Bibliographically approved

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