16 citations · 35 across the 9 of their papers we have counts for
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math.FA2020★ 1 cited
The engulfing property for sections of convex functions in the Heisenberg group and the associated quasi--metric
Andrea Calogero, Rita Pini
In this paper we investigate the property of engulfing for -convex functions defined on the Heisenberg group . Starting from the horizontal sections introduced b…
math.FA2016
On the local boundedness of maximal H--monotone operators
Z. M. Balogh, A. Calogero, R. Pini
In this paper we prove that maximal H-monotone operators whose domain is all the Heisenberg group are locally bounded. This implies that they are…
math.FA2008
Note on the Fenchel transform in the Heisenberg group
A. Calogero, R. Pini
Given a real-valued function defined on the Heisenberg group, we provide a definition of abstract convexity and Fenchel transform that takes into account the sub-Riemannian structu…