Properties of $M$−hyoellipticity for pseudo differential operators

Document Type : Research Paper

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

  • Receive Date 28 June 2012
  • Revise Date 05 January 2013
  • Accept Date 28 January 2013

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