Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXIII, No. 27, pp. 57–68 (2002) 

On a symbol class of elliptic pseudodifferential operatorsS. Pilipovic and N. TeofanovInstitute of Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, 21000 Novi Sad, YugoslaviaAbstract: We consider a class of symbols with prescribed smoothness and growth conditions and give examples of such symbols. The introduced class contains certain polynomial symbols and symbols with more than polynomial growth in phase space. The corresponding pseudodifferential operators defined as the Weyl transforms of the symbols are elliptic. As an application, we give a result on isomorphisms between modulation spaces. In particular, we show that the Bessel potentials establish such isomorphisms. Keywords: pseudodifferential operators, ellipticity, modulation spaces Classification (MSC2000): 47G30 Full text of the article: (for faster download, first choose a mirror)
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© 2002 Mathematical Institute of the Serbian Academy of Science and Arts
