The pointwise densities of the Cantor measure

DOI10.1006/jmaa.2000.7137zbMath0967.28006OpenAlexW2121246956MaRDI QIDQ1589726

Zhi-Ying Wen, De-Jun Feng, Hua Su

Publication date: 27 August 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7137

zbMATH Keywords

Hausdorff dimensionpacking measureCantor measuremiddle-third Cantor setupper and lower density

Mathematics Subject Classification ID

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

Related Items (14)

Density spectrum of Cantor measure ⋮ A note on the generalized Hausdorff and packing measures of product sets in metric space ⋮ Exact Hausdorff and packing measure of certain Cantor sets, not necessarily self-similar or homogeneous ⋮ Exact packing measure of central Cantor sets in the line ⋮ On the pointwise densities of the Cantor measure ⋮ The Cantor function ⋮ The exact measures of a class of self-similar sets on the plane ⋮ Multiplication on uniform λ-Cantor sets ⋮ Pointwise densities of homogeneous Cantor measure and critical values ⋮ The upper densities of symmetric perfect sets ⋮ Packing dimension and measure of homogeneous Cantor sets ⋮ THE POINTWISE DENSITIES OF NON-SYMMETRIC CANTOR SETS ⋮ The pointwise densities of 3-part Cantor measure ⋮ The Hausdorff and packing measure of some digital expansions

Cites Work

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• Wavelet transforms and order-two densities of fractals
• Tangent measure distributions of hyperbolic Cantor sets
• On Bandt's tangential distribution for self-similar measures
• Analogues of the Lebesgue Density Theorem for Fractal Sets of Reals and Integers
• Fractional Differentiation in the Self-Affine Case III. The Density of the Cantor Set
• Exact Hausdorff measure and intervals of maximum density for Cantor sets
• Densities of Self-Similar Measures on the Line

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