Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy ; Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
Abstract:
We give a classification of pseudo-differential operators with anti-Wick symbols belonging to spaces: if the corresponding operator belongs to trace classes; if we get Hilbert-Schmidt operators; finally, if , the operator is compact. This classification cannot be improved, as shown by some examples.