Big-Pieces-of-Lipschitz-Images Implies a Sufficient Carleson Estimate in a Metric Space

Details Big-Pieces-of-Lipschitz-Images Implies a Sufficient Carleson Estimate in a Metric Space Big-Pieces-of-Lipschitz-Images Implies a Sufficient Carleson Estimate in a Metric Space

2007-06-18

arxiv.org/abs/0706.2517v1

Mathematics

Metric Geometry

4 pages. No figures. Assumes familiarity with previous work

Scientific paper

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 having `Big Pieces of bi-Lipschitz Images' (BPBI) is
equivalent to a Carleson condition.

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