properties of M−hyoellipticity for pseudo differential operators

Document Type : Research Paper


Department of Mathematics, University of Mazandaran, Babolsar 47416-1468, Iran.


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