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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Bibliographic Details
Published in:The Journal of fourier analysis and applications 2016-12, Vol.22 (6), p.1381-1415
Main Authors: Molahajloo, Shahla, Okoudjou, Kasso A., Pfander, Götz E.
Format: Article
Language:English
Subjects:
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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Summary: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