Accessible domains in the Heisenberg group

Balogh, Zoltán; Monti, Roberto

doi:10.1090/S0002-9939-03-06978-8

Accessible domains in the Heisenberg group
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by Zoltán M. Balogh and Roberto Monti

Proc. Amer. Math. Soc. 132 (2004), 97-106

DOI: https://doi.org/10.1090/S0002-9939-03-06978-8

Published electronically: March 25, 2003

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Abstract:

We study the problem of accessibility of boundary points for domains in the sub–Riemannian setting of the first Heisenberg group. A sufficient condition for accessibility is given. It is a Dini–type continuity condition for the horizontal gradient of the defining function. The sharpness of this condition is shown by examples.

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