Contents Online
Mathematical Research Letters
Volume 7 (2000)
Number 6
Boundedness of Bilinear Operators with nonsmooth symbols
Pages: 767 – 778
DOI: https://dx.doi.org/10.4310/MRL.2000.v7.n6.a9
Authors
Abstract
We announce the $L^p$-boundedness of general bilinear operators associated to a symbol or multiplier which need not be smooth. We establish a general result for multipliers that are allowed to have singularities along the edges of a cone as well as possibly at its vertex. It thus unifies ealier results of Coifman-Meyer for smooth multipliers and ones, such the Bilinear Hilbert transform of Lacey-Thiele, where the multiplier is not smooth.
Published 1 January 2000