Boundedness of multilinear pseudo-differential operators on modulation spaces
arXiv:1502.03317
Abstract
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.
29 pages, journal submission