The multidimensional Luzin theorem

Moonens, Laurent
(2008) 32th Summer Symposium in Real Analysus — Location: Chicago, IL, USA (10.June.2008)

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  • Moonens, LaurentUCLouvain
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Abstract
In 1912, N. Luzin showed that each finite measurable function f : R → R is equal a.e. to the derivative of a continuous, a.e. differentiable function F : R → R. We explain how this can be improved in several dimensions. This report exposes the results obtained in a joint work [3] with W.F. Pfeffer.
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Moonens, L. (2008). The multidimensional Luzin theorem. 32th Summer Symposium in Real Analysus, Chicago, IL, USA. https://hdl.handle.net/2078.5/160118