Bi-lipschitz extensions in the plane
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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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- [DS] G. David and S. Semmes,Singular integrals and rectifiable sets in ℝ n:au-delà des graphes lipschitziens, Astérisque193 (1991).Google Scholar