On the local boundedness of maximal H-monotone operators

In this paper we prove that maximal H-monotone operators T:Hn⇉V1T:Hn⇉V1 whose domain is all the Heisenberg group HnHn are locally bounded. This implies that they are upper semicontinuous. As a consequence, maximal H-monotonicity of an operator on HnHn can be characterized by a suitable version of Minty’s type theorem.