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arXiv:math/0701732 [math.FA]AbstractReferencesReviewsResources

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

Mitsuru Sugimoto, Naohito Tomita

Published 2007-01-25Version 1

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 $M^{p,q}$ ($q\neq2$).

Comments: 9 pages
Categories: math.FA, math.AP
Subjects: 42B35, 47G30
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