Multiscale Analysis of 1-rectifiable Measures II: Characterizations
A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density and finiteness of a geometric square function,...
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Format: | article |
Langue: | EN |
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De Gruyter
2017
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Accès en ligne: | https://doaj.org/article/b8b65633af424a67aff0410686fe5c7b |
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