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The Lusin Theorem and Horizontal Graphs in the Heisenberg Group

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Hajłasz P., Mirra J.

Analysis and Geometry in Metric Spaces

2013

tom 1

295-301

In this paper we prove that every collection of measurable functions fα , |α| = m, coincides a.e. withmth order derivatives of a function g ∈ Cm−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.

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Hajłasz P.

1 Mirra J.

1 2013

Wyniki wyszukiwania

The Lusin Theorem and Horizontal Graphs in the Heisenberg Group