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ACCESSIBLE DOMAINS IN THE HEISENBERG GROUP

By Zoltán M. Balogh, Roberto Monti and Communicated Juha M. Heinonen

Abstract

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. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.4624
Provided by: CiteSeerX
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