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Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces

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Mendel M., Naor A.

Analysis and Geometry in Metric Spaces

2013

tom 1

163-199

The metric Markov cotype of barycentric metric spaces is computed, yielding the first class of metric spaces that are not Banach spaces for which this bi-Lipschitz invariant is understood. It is shown that this leads to new nonlinear spectral calculus inequalities, as well as a unified framework for Lipschitz extension, including new Lipschitz extension results for CAT (0) targets. An example that elucidates the relation between metric Markov cotype and Rademacher cotype is analyzed, showing that a classical Lipschitz extension theorem of Johnson, Lindenstrauss and Benyamini is asymptotically sharp.

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Mendel M.

1 Naor A.

1 2013

Wyniki wyszukiwania

Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces