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Quantitative Fatou Theorems and Uniform Rectifiability

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Abstract

We show that a suitable quantitative Fatou Theorem characterizes uniform rectifiability in the codimension 1 case.

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Acknowledgements

We thank the referee for a careful reading of the manuscript, and for several helpful suggestions to improve the exposition.

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, Seattle, WA, 98195, USA

    Simon Bortz

  2. Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA

    Steve Hofmann

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  1. Simon Bortz
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  2. Steve Hofmann
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Correspondence to Simon Bortz.

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This material is based upon work supported by National Science Foundation under Grant No. DMS-1440140 while the authors were in residence at the MSRI in Berkeley, California, during the Spring 2017 semester. The first author was supported by the NSF INSPIRE Award DMS-1344235. The second author was supported by NSF grant DMS-1664047

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Bortz, S., Hofmann, S. Quantitative Fatou Theorems and Uniform Rectifiability. Potential Anal 53, 329–355 (2020). https://doi.org/10.1007/s11118-019-09771-1

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