Differentiable Functions which do not Satisfy a Uniform Lipschitz Condition of any Order
Proceedings of the American Mathematical Society1991Vol. 111(2), pp. 443–443
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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