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A counterexample for boundedness of pseudo-differential operators on modulation spaces

Mitsuru Sugimoto·Naohito Tomita
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Abstract

We prove that pseudo-differential operators with symbols in the class $S_{1,δ}^0$ ($0<δ<1$) are not always bounded on the modulation space $M^{p,q}$ ($q\neq2$).

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Mitsuru Sugimoto, Naohito Tomita. 2007-01-25. A counterexample for boundedness of pseudo-differential operators on modulation spaces. https://arxiv.org/abs/math/0701732

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