Sufficient conditions for C^1,α parametrization and rectifiability
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Publication:5118944
DOI10.5186/aasfm.2020.4557zbMath1447.28002arXiv1709.06015OpenAlexW3034521738MaRDI QIDQ5118944
Publication date: 27 August 2020
Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.06015
HölderparametrizationsLipschitzReifenberg setsJones beta numbersJones square functions\(C^{1, \alpha}\) rectifiable sets\(C^{1, \alpha}\) rectifiable measures
Contents, measures, outer measures, capacities (28A12) Lipschitz (Hölder) classes (26A16) Length, area, volume, other geometric measure theory (28A75) Harmonic analysis in several variables (42B99) Hausdorff and packing measures (28A78)
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Generalized rectifiability of measures and the identification problem ⋮ Cones, rectifiability, and singular integral operators ⋮ Hölder curves and parameterizations in the Analyst's traveling salesman theorem ⋮ Geometry of measures in real dimensions via Hölder parameterizations ⋮ Subsets of rectifiable curves in Banach spaces. I: Sharp exponents in traveling salesman theorems ⋮ Geometric criteria for C1,α$C^{1,\alpha }$‐rectifiability ⋮ \( \Omega \)-symmetric measures and related singular integrals ⋮ Menger curvatures and \(C^{1,\alpha}\) rectifiability of measures ⋮ Radon measures and Lipschitz graphs
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