Hausdorff measures, Hölder continuous maps and self-similar fractals

DOI10.1017/S0305004100071383zbMath0783.28005OpenAlexW2138177311MaRDI QIDQ3142753

Pertti Mattila, Miguel Angel Martín

Publication date: 17 March 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100071383

zbMATH Keywords

Hölder continuous imageself- similar fractalsset of positive Hausdorff measure

Mathematics Subject Classification ID

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

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Fractal percolation is unrectifiable, Generalized rectifiability of measures and the identification problem, Unnamed Item, Hölder curves and parameterizations in the Analyst's traveling salesman theorem, Geometry of measures in real dimensions via Hölder parameterizations, Hölder parameterization of iterated function systems and a self-affine phenomenon, Approximate self-similarity of a class of cookie-cutter-like sets, On the parametrization of self-similar and other fractal sets

Cites Work

• Unnamed Item
• Differentiation of integrals in \(\mathbb{R}^n\)
• k-Dimensional Regularity Classifications for s-Fractals