Abstract.
We show that the linear and nonlinear Lipschitz extension properties of a metric space are not changed when the original metric is replaced by a new metric obtained by composition with an arbitrary concave function.
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Submitted: January 2001, Revised: February 2001.
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Brudnyi, Y., Shvartsman, P. Stability of the Lipschitz extension property under metric transforms . GAFA, Geom. funct. anal. 12, 73–79 (2002). https://doi.org/10.1007/s00039-002-8237-9
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DOI: https://doi.org/10.1007/s00039-002-8237-9