Differentiable functions which do not satisfy a uniform Lipschitz condition of any order

Hata, Masayoshi

doi:10.1090/S0002-9939-1991-1045138-8

Differentiable functions which do not satisfy a uniform Lipschitz condition of any order
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by Masayoshi Hata PDF

Proc. Amer. Math. Soc. 111 (1991), 443-450 Request permission

Abstract:

The aim of this paper is to construct two kinds of absolutely continuous functions. One is differentiable everywhere but does not satisfy a uniform Lipschitz condition of any order on some large class of subintervals, while the other is differentiable almost everywhere but does not satisfy a uniform Lipschitz condition of any order on any subintervals.

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