On Whitney-type characterization of approximate differentiability on metric measure spaces
classification
🧮 math.CA
keywords
differentiablefunctionsapproximateapproximatelycharacterizationdifferentiabilitymeasuremetric
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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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