Regularity of Distance Measures and Sets
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Pertti Mattila; Per Sjölin
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Article
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1999
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John Wiley and Sons
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English
⚖ 236 KB
## Abstract Let μ be a Radon measure with compact support in IR^n^ such that equation image We show that the imw of μ x μ under the distance map (x, y) → |x‐ y| is an absolutely continuous measure with density of class C^a^‐(n+1)/2. As a corollary we get that If AC IR^n^ is a Suslin set with Haus