1Department of Mathematics Western Washington University 516 High Street Bellingham, WA 98225-9063, U.S.A. 2Department of Mathematics Cornell University Malott Hall Ithaca, NY 14853-4201, U.S.A.
Studia Mathematica, Tome 172 (2006) no. 2, pp. 169-180
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.
Keywords:
prove symbols modulation spaces cal geq associated multilinear pseudodifferential operators bounded products appropriate modulation spaces particular symbols study here defined without reference smoothness rather terms their time frequency behavior
Affiliations des auteurs :
Árpád Bényi 
1
;
Kasso A. Okoudjou 
2
1
Department of Mathematics Western Washington University 516 High Street Bellingham, WA 98225-9063, U.S.A.
2
Department of Mathematics Cornell University Malott Hall Ithaca, NY 14853-4201, U.S.A.
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title = {Modulation space estimates for multilinear
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Árpád Bényi; Kasso A. Okoudjou. Modulation space estimates for multilinear
pseudodifferential operators. Studia Mathematica, Tome 172 (2006) no. 2, pp. 169-180. doi: 10.4064/sm172-2-4