A doubling measure on $\mathbb {R}^d$ can charge a rectifiable curve
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- by John Garnett, Rowan Killip and Raanan Schul PDF
- Proc. Amer. Math. Soc. 138 (2010), 1673-1679 Request permission
Abstract:
For $d\geq 2$, we construct a doubling measure $\nu$ on $\mathbb {R}^d$ and a rectifiable curve $\Gamma$ such that $\nu (\Gamma )>0$.References
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Additional Information
- John Garnett
- Affiliation: Department of Mathematics, University of California, Los Angeles, California 90095
- Rowan Killip
- Affiliation: Department of Mathematics, University of California, Los Angeles, California 90095
- Raanan Schul
- Affiliation: Department of Mathematics, State University of New York, Stony Brook, New York 11794
- Received by editor(s): June 14, 2009
- Published electronically: January 13, 2010
- Communicated by: Mario Bonk
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1673-1679
- MSC (2010): Primary 28A75; Secondary 42B20
- DOI: https://doi.org/10.1090/S0002-9939-10-10234-2
- MathSciNet review: 2587452