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Modulation space estimates for multilinear pseudodifferential operators

Árpád Bényi; Kasso A. Okoudjou — 2006

Studia Mathematica

We prove that for symbols in the modulation spaces $ℳ^{p, q}$ , p ≥ 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.

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