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  Estimating discrete curvatures in terms of beta numbers

Kolasinski, S. (in preparation). Estimating discrete curvatures in terms of beta numbers.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002A-7188-9 Version Permalink: https://hdl.handle.net/21.11116/0000-0002-EDF5-F
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 Creators:
Kolasinski, Slawomir1, Author           
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1Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753352              

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Free keywords: Mathematics, Classical Analysis and ODEs, math.CA,
 Abstract: For an arbitrary Radon measure $\mu$ we estimate the integrated discrete curvature of $\mu$ in terms of its centred variant of Jones' beta numbers. We farther relate integrals of centred and non-centred beta numbers. As a corollary, employing the recent result of Tolsa [Calc. Var. PDE, 2015], we obtain a partial converse of the theorem of Meurer [arXiv:1510.04523].

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 Dates: 2016-05-03
 Publication Status: Not specified
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 Identifiers: arXiv: 1605.00939
URI: http://arxiv.org/abs/1605.00939
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