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• W2949330155 abstract "In a recent paper, Pertti Mattila asked which gauge functions $phi$ have the property that for any planar Borel set $A$ with positive Hausdorff measure in gauge $phi$, the projection of $A$ to almost every line has positive length. We show that integrability near zero of $phi(r)/(r^2)$, which is known to be sufficient for this property, is also necessary if $phi$ is regularly varying. Our proof is based on a random construction adapted to the gauge function." @default.
• W2949330155 created "2019-06-27" @default.
• W2949330155 creator A5020836845 @default.
• W2949330155 creator A5048740367 @default.
• W2949330155 date "2004-06-18" @default.
• W2949330155 modified "2023-09-26" @default.
• W2949330155 title "The sharp Hausdorff measure condition for length of projections" @default.
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• W2949330155 hasPublicationYear "2004" @default.
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