Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces (1702.05714v2)

Abstract: We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when H\"ormander symbols and certain types of modulation spaces are used as symbol classes. We use these properties to carry over continuity and Schatten-von Neumann properties to the Born-Jordan calculus.