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- W2013293675 abstract "In this paper we prove that every collection of measurable functions $f_alpha$, $|alpha|=m$ coincides a.e. with $m$th order derivatives of a function $gin C^{m-1}$ whose derivatives of order $m-1$ may have any modulus of continuity weaker than that of a Lipschitz function. This is a stronger version of earlier results of Lusin, Moonens-Pfeffer and Francos. As an application we construct surfaces in the Heisenberg group with tangent spaces being horizontal a.e." @default.
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- W2013293675 date "2013-06-26" @default.
- W2013293675 modified "2023-09-27" @default.
- W2013293675 title "The Lusin theorem and horizontal graphs in the Heisenberg group" @default.
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