Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces
arXiv:1702.05714
Abstract
We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when Hörmander 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.
29 pages. The present version is larger than the previous ones. Especially our continuity properties for Born-Jordan operators with symbols in modulation spaces now permit Lebesgue exponents to be in the full interval (0,\infty ]