Geodesic
On Whitney-type Characterization of Approximate Differentiability on Metric Measure Spaces
Canadian journal of mathematics, Tome 66 (2014) no. 4, pp. 721-742

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DOI

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.
DOI : 10.4153/CJM-2012-064-x
Mots-clés : 26B05, 28A15, 28A75, 46E35, approximate differentiability, metric space, strong measurable differentiable structure,Whitney theorem 
Durand-Cartagena, E.; Ihnatsyeva, L.; Korte, R.; Szumańska, M. On Whitney-type Characterization of Approximate Differentiability on Metric Measure Spaces. Canadian journal of mathematics, Tome 66 (2014) no. 4, pp. 721-742. doi: 10.4153/CJM-2012-064-x
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     title = {On {Whitney-type} {Characterization} of {Approximate} {Differentiability} on {Metric} {Measure} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {721--742},
     year = {2014},
     volume = {66},
     number = {4},
     doi = {10.4153/CJM-2012-064-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-064-x/}
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