Bi-Lipschitz decomposition of Lipschitz functions into a metric space
نویسندگان
چکیده
منابع مشابه
Bi-Lipschitz Decomposition of Lipschitz functions into a Metric space
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 be decomposed f into a finite number of BiLipschitz functions f |Fi so that the k-Hausdorff content of f([0, 1] r ∪Fi) is small. We thus generalize a theorem of P. Jones [Jon88] from the setting of R to the setting of a general metric spa...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2009
ISSN: 0213-2230
DOI: 10.4171/rmi/574