Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A doubling measure on $\mathbb{R}^d$ can charge a rectifiable curve

Author(s): John Garnett; Rowan Killip; Raanan Schul
Journal: Proc. Amer. Math. Soc. 138 (2010), 1673-1679.
MSC (2010): Primary 28A75; Secondary 42B20
Posted: January 13, 2010
MathSciNet review: 2587452
Retrieve article in: PDF

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Abstract: For $d\geq 2$ , we construct a doubling measure $\nu$ on $\mathbb{R}^d$ and a rectifiable curve $\Gamma$ such that $\nu(\Gamma)>0$ .

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