The boundary of a smooth set has full Hausdorff dimension

DOI10.1016/J.JMAA.2004.01.044zbMath1077.28008OpenAlexW2045010600MaRDI QIDQ596770

Themis Mitsis

Publication date: 10 August 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.2004.01.044

zbMATH Keywords

Hausdorff dimensionLebesgue measuresmooth measure\(Z\)-setsmooth set

Mathematics Subject Classification ID

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

Related Items (1)

\((n,2)\)-sets have full Hausdorff dimension

Cites Work

• Inner functions in the hyperbolic little Bloch class
• Two monotonic, singular, uniformly almost smooth functions
• Monotonic singular functions of high smoothness
• Singular measures and domains not of Smirnov type
• Three notes on perfect linear sets
• On mappings, conformal at the boundary

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