Fatness and thinness of uniform Cantor sets for doubling measures

DOI10.1007/s11425-010-4148-7zbMath1219.28001OpenAlexW1977434936MaRDI QIDQ547343

Fengji Peng, Sheng You Wen

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4148-7

zbMATH Keywords

doubling measurefairly fatfairly thinminimally fatminimally thinuniform Cantor set

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Singular functions, Cantor functions, functions with other special properties (26A30)

Related Items (7)

On Cantor sets and doubling measures ⋮ Fatness and thinness of some general Cantor sets for doubling measures ⋮ Some dimensional results for a class of special homogeneous Moran sets ⋮ Thickness and thinness of \(\lambda\)-Moran sets for doubling measures ⋮ Some Hausdorff dimensional results for homogeneous Moran sets in \({\mathbb {R}}^d\) ⋮ Normal numbers are not fat for doubling measures ⋮ Doubling measures on uniform Cantor sets

Cites Work

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• Lectures on analysis on metric spaces
• Two problems on doubling measures
• Quasisymmetrically minimal uniform Cantor sets
• Doubling measures on Whitney modification sets
• ON MEASURES WITH THE DOUBLING CONDITION
• Thickness and thinness of uniform Cantor sets for doubling measures
• Hausdorff dimension and quasisymmetric mappings.
• Doubling for general sets

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