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A simple proof of the Stepanov theorem on differentiability almost everywhere

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Publication:1293799
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zbMath0930.26005MaRDI QIDQ1293799

K. Appert

Publication date: 15 September 1999

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

Lipschitz constantLipschitz functionRademacher theorema.e. differentiabilityStepanov theorem


Mathematics Subject Classification ID

Continuity and differentiation questions (26B05)


Related Items

The Stepanov differentiability theorem in metric measure spaces, Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared-Distance Function, On square functions with independent increments and Sobolev spaces on the line, Sets where \(\operatorname{Lip}f\) is infinite and \(\operatorname{lip}f\) is finite, Differentiability in the Sobolev space \(W^{1,n-1}\), Lipschitz extensions and approximations, Approximation in Sobolev spaces of nonlinear expressions involving the gradient, Prime ends and Orlicz–Sobolev classes, Absolutely continuous functions of several variables, Prime ends in theory of mappings with finite distortion in the plane, On Stepanov type differentiability theorems, On the boundary behavior of mappings with finite distortion in the plane



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