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- W2963991570 abstract "Abstract 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 R n in works of Alberti and Moonens-Pfeffer. In this note, we prove direct analogs of these results on a large class of metric measure spaces, those with doubling measures and Poincaré inequalities, which admit a form of differentiation by a famous theorem of Cheeger." @default.
- W2963991570 created "2019-07-30" @default.
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- W2963991570 date "2015-10-15" @default.
- W2963991570 modified "2023-09-23" @default.
- W2963991570 title "Lusin-type Theorems for Cheeger Derivatives on Metric Measure Spaces" @default.
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- W2963991570 doi "https://doi.org/10.1515/agms-2015-0017" @default.
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