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Piecewise linear bases and Besov spaces on fractal sets

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Publication:1603239
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DOI10.1023/A:1014334924583zbMath0994.46009MaRDI QIDQ1603239

Alf Jonsson, Anna Kamont

Publication date: 25 June 2002

Published in: Analysis Mathematica (Search for Journal in Brave)


zbMATH Keywords

Besov spacewaveletFranklin systemfractal setFaber-Schauder system


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)


Related Items (6)

Concerning the vector-valued fractal interpolation functions on the Sierpiński gasket ⋮ Characterization of Besov spaces on nested fractals by piecewise harmonic functions ⋮ Equivalence of the global and local Markov inequalities in the complex plane ⋮ Bases in Banach spaces of smooth functions on Cantor-type sets ⋮ Discrete characterisations of Lipschitz spaces on fractals ⋮ Asymptotic behaviour of Besov norms via wavelet type basic expansions




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