Boundedness of Pseudo-Differential Operators on L^p, Sobolev, and Modulation Spaces
classification
🧮 math.FA
keywords
spacesmodulationnormsoperatorspseudo-differentialsobolevboundboundedness
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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.
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