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Modulation space estimates for multilinear pseudodifferential operators

Tom 172 / 2006

Árpád Bényi, Kasso A. Okoudjou Studia Mathematica 172 (2006), 169-180 MSC: Primary 47G30; Secondary 42B35, 35S99. DOI: 10.4064/sm172-2-4

Streszczenie

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.

Autorzy

  • Árpád BényiDepartment of Mathematics
    Western Washington University
    516 High Street
    Bellingham, WA 98225-9063, U.S.A.
    e-mail
  • Kasso A. OkoudjouDepartment of Mathematics
    Cornell University
    Malott Hall
    Ithaca, NY 14853-4201, U.S.A.
    e-mail

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