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On the Construction of Hölder and Proximal Subderivatives
Published online by Cambridge University Press: 20 November 2018
Abstract
We construct Lipschitz functions such that for all $s>0$ they are $s$-Hölder, and so proximally, subdifferentiable only on dyadic rationals and nowhere else. As applications we construct Lipschitz functions with prescribed Hölder and approximate subderivatives.
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- Research Article
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- Copyright © Canadian Mathematical Society 1998
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