STABILITY IN THE C-NORM AND W^1_\infty-NORM OF CLASSES OF LIPSCHITZ FUNCTIONS OF ONE VARIABLE


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Abstract

In the framework of Kopylov's ω-stability concept, we study some stable classes of Lipschitz functions of one real variable. We obtain an exhaustive (nontrivial) classification for these classes and establish the relevant stability estimates in the W^1_\infty-norm.

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