Abstract
Lipschitz functions are the smooth functions of metric spaces. A real-valued function f on a metric space X is said to be L-Lipschitz if there is a constant L ≥ 1 such that
for all x and y in X. Of course, there is nothing special about having the real line as a target, and in general we call a map f : X → Y between metric spaces Lipschitz, or L-Lipschitz if the constant L ≥ 1 deserves to be mentioned, if condition (6.1) holds.
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© 2001 Springer Science+Business Media New York
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Heinonen, J. (2001). Lipschitz Functions. In: Lectures on Analysis on Metric Spaces. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0131-8_6
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DOI: https://doi.org/10.1007/978-1-4613-0131-8_6
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