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Boundedness of Multilinear Pseudo-differential Operators on Modulation Spaces
Authors:Shahla Molahajloo  Kasso A. Okoudjou  Götz E. Pfander
Affiliation:1.Department of Mathematics,Institute for Advanced Studies in Basic Sciences (IASBS),Gava zang, Zanjan,Iran;2.Department of Mathematics,University of Maryland,College Park,USA;3.School of Science and Engineering,Jacobs University,Bremen,Germany
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.
Keywords:
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