A doubling measure on ℝd can charge a rectifiable curve

John Garnett; Rowan Killip; Raanan Schul

doi:10.1090/S0002-9939-10-10234-2

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

John Garnett
, Rowan Killip
, Raanan Schul

Mathematics

Stony Brook University

University of California at Los Angeles

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

For d > 2, we construct a doubling measure v on ℝ^d and a recti- fiable curve i̧ such that v(i̧) > 0.

Original language	English
Pages (from-to)	1673-1679
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-10-10234-2
State	Published - May 2010

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abstract = "For d > 2, we construct a doubling measure v on ℝd and a recti- fiable curve {\c i} such that v({\c i}) > 0.",

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

Abstract

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