Haar wavelets of higher order on fractals and regularity of functions.

DOI10.1016/j.jmaa.2003.09.071zbMath1037.42036OpenAlexW1985418260MaRDI QIDQ1426983

Alf Jonsson

Publication date: 14 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.071

zbMATH Keywords

waveletsfractalsfunction spaces

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)

Related Items (10)

Compactness of embeddings of Sobolev type on metric measure spaces ⋮ Wavelets on fractals ⋮ Unnamed Item ⋮ The rate of convergence of Steklov means on metric measure spaces and Hausdorff dimension ⋮ \(JLip\) versus Sobolev spaces on a class of self-similar fractal foliages ⋮ Comparison of different definitions of traces for a class of ramified domains with self-similar fractal boundaries ⋮ Generalized Hajłasz-Sobolev classes on ultrametric measure spaces with doubling condition ⋮ A Transmission Problem Across a Fractal Self-Similar Interface ⋮ Hausdorff measures and Lebesgue points for the Sobolev classes \(W_{\alpha }^p\), \(\alpha > 0\), on spaces of homogeneous type ⋮ Maximal Functions Measuring Smoothness

Cites Work

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• Wavelets on fractals and Besov spaces
• Piecewise linear wavelets on Sierpinski gasket type fractals
• Local regularity of nonsmooth wavelet expansions and application to the Polya function
• Brownian motion on fractals and function spaces
• The dual of Besov spaces on fractals

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