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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Format: | Article |
Language: | English |
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De Gruyter
2015-10-01
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Series: | Analysis and Geometry in Metric Spaces |
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Online Access: | https://doi.org/10.1515/agms-2015-0017 |