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Bi-lipschitz extensions in the plane

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Abstract

We show that a bi-Lipschitz mapF from a subset of a line or a circle into the plane can be extended to a bi-Lipschitz map of the whole plane onto itself, with the bi-Lipschitz constant depending only on that ofF.

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Authors and Affiliations

  1. Department of Mathematics, University of Texas at Austin, 78712, Austin, TX, USA

    Paul MacManus

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  1. Paul MacManus
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Additional information

This research was supported in part by NSF Grant DMS-9305792.

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MacManus, P. Bi-lipschitz extensions in the plane. J. Anal. Math. 66, 85–115 (1995). https://doi.org/10.1007/BF02788819

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  • DOI: https://doi.org/10.1007/BF02788819

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