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Article
Boundedness of bilinear operators with nonsmooth symbols
Mathematical Research Letters
Publication Date
2000
Abstract
We announce the Lp-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 CoifmanMeyer for smooth multipliers and ones, such the Bilinear Hilbert transform of Lacey-Thiele, where the multiplier is not smooth.
Disciplines
Pages
767-778
Citation Information
John Gilbert and Andrea Nahmod. "Boundedness of bilinear operators with nonsmooth symbols" Mathematical Research Letters Vol. 7 Iss. 5-6 (2000) Available at: http://works.bepress.com/andrea_nahmod/17/
DOI: http://dx.doi.org/10.4310/MRL.2000.v7.n6.a9