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

E. Durand-Cartagena, L. Ihnatsyeva, R. Korte, M. Szumańska

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)721-742
Number of pages22
JournalCanadian Journal of Mathematics
Volume66
Issue number4
DOIs
Publication statusPublished - 1 Jan 2014
MoE publication typeA1 Journal article-refereed

Keywords

  • Approximate differentiability
  • Metric space
  • Strong measurable differentiable structure
  • Whitney theorem

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