Lusin-type Theorems for Cheeger Derivatives on Metric Measure Spaces

A theorem of Lusin states that every Borel function onRis equal almost everywhere to the derivative of a continuous function. This result was later generalized to Rn in works of Alberti and Moonens-Pfeffer. In this note, we prove direct analogs of these results on a large class of metric measure spa...

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Bibliographic Details
Main Author: Guy C. David
Format: Article
Language:English
Published: De Gruyter 2015-10-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2015-0017