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arXiv · 1207.5958

On Whitney-type characterization of approximate differentiability on metric measure spaces

Estibalitz Durand-Cartagena·Lizaveta Ihnatsyeva·Riikka Korte·Marta Szumańska
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Abstract

We study approximately differentiable functions on metric measure spaces admitting a Cheeger differentiable structure. The main result is a Whitney-type characterization of approximately differentiable functions in this setting. As an application, we prove a Stepanov-type theorem and consider approximate differentiability of Sobolev, BV and maximal functions.

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Estibalitz Durand-Cartagena, Lizaveta Ihnatsyeva, Riikka Korte, Marta Szumańska. 2012-07-25. On Whitney-type characterization of approximate differentiability on metric measure spaces. https://arxiv.org/abs/1207.5958

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