A counterexample for boundedness of pseudo-differential operators on modulation spaces
classification
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math.AP
keywords
deltamodulationoperatorspseudo-differentialalwaysboundedboundednessclass
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We prove that pseudo-differential operators with symbols in the class $S_{1,\delta}^0$ ($0<\delta<1$) are not always bounded on the modulation space $M^{p,q}$ ($q\neq2$).
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