  In this paper we prove that maximal H-monotone operators
$T:H^n\rightrightarrows V_1$ whose domain is all the Heisenberg group $H^n$ are
locally bounded. This implies that they are upper semicontinuous. As a
consequence, maximal H-monotonicity of an operator on $H^n$ can be
characterized by a suitable version of Minty's type theorem.
