The Engulfing Property for Sections of Convex Functions on the Heisenberg Group and the Associated Quasi-distance
The Engulfing Property for Sections of Convex Functions on the Heisenberg Group and the Associated Quasi-distance
Abstract In this paper we investigate the property of engulfing for H -convex functions defined on the Heisenberg group $${\mathbb {H}^n}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:math> . Starting from the horizontal sections introduced by Capogna and Maldonado (Proc Am Math Soc 134:3191–3199, 2006) , we consider …