CONTINUITY PROPERTIES FOR BORN-JORDAN OPERATORS WITH SYMBOLS IN HÖRMANDER CLASSES AND MODULATION SPACES

摘要

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,nuclearity and Schatten-von Neumann properties to the Born-Jordan calculus.