Boundedness of multilinear pseudo-differential operators on modulation spaces
classification
🧮 math.FA
keywords
operatorsboundednessmodulationmultilinearspacestransformapplicationbilinear
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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.
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