Two sufficient conditions for rectifiable measures

DOI10.1090/proc/12881zbMath1345.28004arXiv1412.8357OpenAlexW2964206621MaRDI QIDQ2796713

Raanan Schul, Matthew Badger

Publication date: 29 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8357

zbMATH Keywords

Hausdorff measuresingular measurerectifiable measureHausdorff densityJones beta number

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Related Items (17)

Generalized rectifiability of measures and the identification problem ⋮ Cones, rectifiability, and singular integral operators ⋮ Geometry of measures in real dimensions via Hölder parameterizations ⋮ Boundedness of the density normalised Jones' square function does not imply 1-rectifiability ⋮ Characterization of \(n\)-rectifiability in terms of Jones' square function. II ⋮ Identifying 1-rectifiable measures in Carnot groups ⋮ An analyst's traveling salesman theorem for sets of dimension larger than one ⋮ Characterization of rectifiable measures in terms of 𝛼-numbers ⋮ Tangent points of lower content d‐regular sets and β numbers ⋮ Hölder parameterization of iterated function systems and a self-affine phenomenon ⋮ Multiscale analysis of 1-rectifiable measures. II: Characterizations ⋮ Characterization of \(n\)-rectifiability in terms of Jones' square function. I ⋮ \( \Omega \)-symmetric measures and related singular integrals ⋮ Wild examples of countably rectifiable sets ⋮ Sufficient condition for rectifiability involving Wasserstein distance \(W_2\) ⋮ Characterizations of countably \(n\)-rectifiable Radon measures by higher-dimensional Menger curvatures ⋮ Radon measures and Lipschitz graphs

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