A sharp upper bound for the Hausdorff dimension of the set of exceptional points for the strong density theorem

DOI10.1016/j.jmaa.2015.11.017zbMath1351.28006OpenAlexW2134209952MaRDI QIDQ898850

Constantinos Gryllakis, Panagiotis Georgopoulos

Publication date: 21 December 2015

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.2015.11.017

zbMATH Keywords

Hausdorff dimensionBesicovitch-Taylor indexSaks' strong density theorem

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Hausdorff and packing measures (28A78)

Cites Work

• On Density of Perfect Sets‡
• On strengthening the Lebesgue Density Theorem
• An alternative form of Egoroff's theorem
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure
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