Boundedness of Multilinear Pseudo-differential Operators on Modulation Spaces

Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the operators’ symbols. The flexibility and strength of the introduced methods is demonstrated by their appli...

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Veröffentlicht in:	The Journal of fourier analysis and applications 2016-12, Vol.22 (6), p.1381-1415
Hauptverfasser:	Molahajloo, Shahla, Okoudjou, Kasso A., Pfander, Götz E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Approximations and Expansions Differential equations Fourier Analysis Fourier transforms Hilbert transformation Integral calculus Mathematical Methods in Physics Mathematics Mathematics and Statistics Modulation Operators Partial Differential Equations Signal,Image and Speech Processing
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Beschreibung
Zusammenfassung:	Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the operators’ symbols. The flexibility and strength of the introduced methods is demonstrated by their application to the bilinear and trilinear Hilbert transform.
ISSN:	1069-5869 1531-5851
DOI:	10.1007/s00041-016-9461-2