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Bilinear PseudodifferentialOperators on ModulationSpaces

Authors:	árpád?Bényi author-information" > author-information__contact u-icon-before" > mailto:benyi@math.umass.edu" title=" benyi@math.umass.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Kasso?Okoudjou author-information" > author-information__contact u-icon-before" > mailto:okoudjou@math.gatech.edu" title=" okoudjou@math.gatech.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Department of Mathematics and Statistics, Lederle Graduate Research Tower, University of Massachusetts, Amherst, MA 01003-9305, USA;(2) School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA

Abstract:	We use the theory of Gabor frames to prove the boundedness of bilinear pseudodifferentialoperators on products of modulation spaces. In particular, we show that bilinearpseudodifferential operators corresponding to non-smooth symbols in the Feichtinger algebra arebounded on products of modulation spaces.

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