A set of positive Gaussian measure with uniformly zero density everywhere.

DOI10.4171/JEMS/1058zbMath1469.28012MaRDI QIDQ2039581

Elena Riss, David Preiss, Jaroslav Tišer

Publication date: 5 July 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

density theoremGaussian measures on Hilbert spaces

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)

Cites Work

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• Gaussian null sets and differentiability of Lipschitz map on Banach spaces
• Log-concave measures
• Differentiation Theorem for Gaussian Measures on Hilbert Space
• An Elementary Proof of the One-Dimensional Density Theorem
• A Short Proof of Lebesgue's Density Theorem
• Vitali covering theorem in Hilbert space

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