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

Boundedness of Pseudo-Differential Operators onLp, Sobolev and Modulation Spaces

Boundedness of Pseudo-Differential Operators onL^p, Sobolev and Modulation Spaces