On Cantor sets and doubling measures

DOI10.1016/j.jmaa.2012.04.035zbMath1253.28008arXiv1204.5891OpenAlexW2963745999MaRDI QIDQ432427

Marianna Csörnyei, Ville Suomala

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1204.5891

zbMATH Keywords

Cantor setdoubling measure

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Hausdorff and packing measures (28A78) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (3)

Doubling constants and spectral theory on graphs ⋮ Existence of doubling measures via generalised nested cubes ⋮ Doubling measures on uniform Cantor sets

Cites Work

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• Fatness and thinness of uniform Cantor sets for doubling measures
• Lectures on analysis on metric spaces
• Two problems on doubling measures
• Two examples on atomic doubling measures
• Doubling measures on Whitney modification sets
• Existence of doubling measures via generalised nested cubes
• Doubling measures with doubling continuous part
• Thin and fat sets for doubling measures in metric spaces
• ON MEASURES WITH THE DOUBLING CONDITION
• Thickness and thinness of uniform Cantor sets for doubling measures
• Hausdorff dimension and quasisymmetric mappings.
• Hausdorff dimension and doubling measures on metric spaces
• Doubling for general sets

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