FRACTAL GEOMETRY OF WEIERSTRASS-TYPE FUNCTIONS

DOI10.1142/S0218348X09004132zbMath1168.28305MaRDI QIDQ3620451

Abel Carvalho

Publication date: 14 April 2009

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

Besov spacessmoothnessWeierstrass functionsbox and Hausdorff dimensionsmeasures and \(d\)-sets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (2)

Non-differentiability and fractional differentiability on timescales ⋮ Control of Weierstrass–Mandelbrot Function Model with Morlet Wavelets

Cites Work

• Theory of function spaces
• Geometrical dimension versus smoothness
• Fractal characteristics of measures: An approach via function spaces
• Box dimension, oscillation and smoothness in function spaces
• On fractals which are not so terrible
• Fractals and Spectra
• The Hausdorff dimension of graphs of Weierstrass functions
• New upper bounds of the Hausdorff dimensions of graphs of continuous functions

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