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

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

2007-01-25

arxiv.org/abs/math/0701732v1

Mathematics

Functional Analysis

9 pages

Scientific paper

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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