On Whitney-type characterization of approximate differentiability on metric measure spaces
Classical Analysis and ODEs
2012-07-26 v1
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.
Keywords
Cite
@article{arxiv.1207.5958,
title = {On Whitney-type characterization of approximate differentiability on metric measure spaces},
author = {Estibalitz Durand-Cartagena and Lizaveta Ihnatsyeva and Riikka Korte and Marta Szumańska},
journal= {arXiv preprint arXiv:1207.5958},
year = {2012}
}