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

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

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Functional Analysis, Analysis of PDEs, 42B35; 47G30

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http://salesiana.dossiersoluciones.com/handle/123456789/122665

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701732
 http://arxiv.org/abs/math/0701732

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arXiv