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2021.04.28 Thomas Zürcher, Uniwersytet Śląski, Katowice

Lorentz spaces and non-differentiability of functions

Abstract: A famous theorem by Rademacher states that Lipschitz functions are differentiable almost everywhere. In this talk, we will look at Sobolev spaces with derivatives in Lorentz spaces and an infinitesimal Lipschitz constant to investigate to which extent Rademacher’s theorem can be generalized.

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