Modulation space estimates for multilinear pseudodifferential operators
Volume 172 / 2006
Studia Mathematica 172 (2006), 169-180
MSC: Primary 47G30; Secondary 42B35, 35S99.
DOI: 10.4064/sm172-2-4
Abstract
We prove that for symbols in the modulation spaces ${\cal M}^{p, q}$, $p\geq q$, the associated multilinear pseudodifferential operators are bounded on products of appropriate modulation spaces. In particular, the symbols we study here are defined without any reference to smoothness, but rather in terms of their time-frequency behavior.
