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

arxiv: 0906.2484 · v2 · submitted 2009-06-13 · 🧮 math.MG · math.CA

A doubling measure on R^d can charge a rectifiable curve

John Garnett , Rowan Killip , Raanan Schul This is my paper

classification 🧮 math.MG math.CA

keywords curvedoublinggammameasurerectifiablechargeconstruct

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

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