Modulation space estimates for multilinear pseudodifferential operators

Árpád Bényi; Kasso A. Okoudjou

Studia Mathematica (2006)

  • Volume: 172, Issue: 2, page 169-180
  • ISSN: 0039-3223

Abstract

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We prove that for symbols in the modulation spaces 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.

How to cite

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Árpád Bényi, and Kasso A. Okoudjou. "Modulation space estimates for multilinear pseudodifferential operators." Studia Mathematica 172.2 (2006): 169-180. <http://eudml.org/doc/285123>.

@article{ÁrpádBényi2006,
abstract = {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.},
author = {Árpád Bényi, Kasso A. Okoudjou},
journal = {Studia Mathematica},
keywords = {modulation spaces; multilinear operators; pseudodifferential operators; short-time Fourier transform},
language = {eng},
number = {2},
pages = {169-180},
title = {Modulation space estimates for multilinear pseudodifferential operators},
url = {http://eudml.org/doc/285123},
volume = {172},
year = {2006},
}

TY - JOUR
AU - Árpád Bényi
AU - Kasso A. Okoudjou
TI - Modulation space estimates for multilinear pseudodifferential operators
JO - Studia Mathematica
PY - 2006
VL - 172
IS - 2
SP - 169
EP - 180
AB - 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.
LA - eng
KW - modulation spaces; multilinear operators; pseudodifferential operators; short-time Fourier transform
UR - http://eudml.org/doc/285123
ER -

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