%0 Journal Article
%T Properties of $M$−hyoellipticity for pseudo differential operators
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Alimohammady, M.
%A Kalleji, M. K.
%D 2013
%\ 06/01/2013
%V 4
%N 1
%P 35-48
%! Properties of $M$−hyoellipticity for pseudo differential operators
%K pseudo differential operator
%K elliptic operator
%K hypoelliptic operator
%K parametrix operator
%R 10.22075/ijnaa.2013.24
%X In this paper we study properties of symbols such that these belong to class of symbols sitting inside $S_{\rho,\varphi}^m$ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operators play 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.
%U https://ijnaa.semnan.ac.ir/article_24_526d06bc28411feafbd032e419349976.pdf