Lusin approximation for horizontal curves in step 2 Carnot groups View Full Text


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Article Info

DATE

2016-10

AUTHORS

Enrico Le Donne, Gareth Speight

ABSTRACT

A Carnot group G admits Lusin approximation for horizontal curves if for any absolutely continuous horizontal curve γ in G and ε>0, there is a C1 horizontal curve Γ such that Γ=γ and Γ′=γ′ outside a set of measure at most ε. We verify this property for free Carnot groups of step 2 and show that it is preserved by images of Lie group homomorphisms preserving the horizontal layer. Consequently, all step 2 Carnot groups admit Lusin approximation for horizontal curves. More... »

PAGES

111

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00526-016-1054-z

DOI

http://dx.doi.org/10.1007/s00526-016-1054-z

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https://app.dimensions.ai/details/publication/pub.1000574566


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