Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces

Abstract

We introduce new classes of modulation spaces over phase space. By means of the Kohn-Nirenberg correspondence, these spaces induce norms on pseudo-differential operators that bound their operator norms on $L^p$-spaces, Sobolev spaces, and modulation spaces.

References in corpus (1)

• Mixed Modulation Spaces and Their Application to Pseudodifferential Operators