Boundedness of multilinear pseudo-differential operators on modulation spaces
Functional Analysis
2015-02-12 v1
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.
Cite
@article{arxiv.1502.03317,
title = {Boundedness of multilinear pseudo-differential operators on modulation spaces},
author = {Shahla Molahajloo and Kasso A. Okoudjou and Götz E. Pfander},
journal= {arXiv preprint arXiv:1502.03317},
year = {2015}
}
Comments
29 pages, journal submission