Properties of M−hyoellipticity for pseudo differential operators

Abstract

In this paper we study properties of symbols such that these belong to class of symbols sitting insideSm ρ,φ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of M−hypoelliptic pseudodifferential operators for which define base on this class of symbols. Also we consider maximal andminimal operators of M−hypoelliptic pseudo differential operators and we express some results aboutthese operators.