Calculus of Variations and Geometric Measure Theory
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Whitney Extension and Lusin Approximation in Carnot Group

Gareth Speight (University of Cincinnati)

created by pinamonti on 24 Feb 2021

2 mar 2021 -- 14:30   [open in google calendar]

Zoom seminar

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The classical Lusin theorem states that any measurable function can be approximated by a continuous function except on a set of small measure. Analogous results for higher smoothness give conditions under which a function can be approximated by a Cm function up to a set of small measure. Proving these results depends on applying a suitable Whitney extension theorem. After recalling the classical results in Euclidean spaces, we discuss recent work extending some of these results to Carnot groups. Based on joint work with Andrea Pinamonti and Marco Capolli.

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