Mathematical Research Letters

Volume 7, Issue 6, November 2000 pp. 767-778.

Boundedness of Bilinear Operators with nonsmooth symbols

Authors: John E. Gilbert and Andrea R. Nahmod
Author institution: The University of Texas at Austin, and University of Massachusetts

Summary: 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.

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