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math.AP2007★ 16 cited
Universal local parametrizations via heat kernels and eigenfunctions of the Laplacian
Peter W. Jones, Mauro Maggioni, Raanan Schul
We use heat kernels or eigenfunctions of the Laplacian to construct local coordinates on large classes of Euclidean domains and Riemannian manifolds (not necessarily smooth, e.g. w…
math.MG2007
Big-Pieces-of-Lipschitz-Images Implies a Sufficient Carleson Estimate in a Metric Space
Raanan Schul
This note is intended to be a supplement to the bi-Lipschitz decomposition of Lipschitz maps shown in [Sch]. We show that in the case of 1-Ahlfors-regular sets, the condition of ha…
math.MG2007
Bi-Lipschitz Decomposition of Lipschitz functions into a Metric space
Raanan Schul
We prove a quantitative version of the following statement. Given a Lipschitz function f from the k-dimensional unit cube into a general metric space, one can decomposed f into a f…