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arXiv · 1605.02485

On the local boundedness of maximal H--monotone operators

Z. M. Balogh·A. Calogero·R. Pini
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Abstract

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.

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Z. M. Balogh, A. Calogero, R. Pini. 2016-05-09. On the local boundedness of maximal H--monotone operators. https://arxiv.org/abs/1605.02485

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