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Friday, February 12, 2016
5:00 PM - 6:00 PM

Caltech/UCLA Joint Analysis Seminar

Cancellation for the multilinear Hilbert and simplex transforms
Terence Tao, Professor, Mathematics, UCLA,

The L^p boundedness of the trilinear and higher Hilbert

transforms (and more generally, the simplex transforms) are one of the

main open problems in multilinear harmonic analysis.  We present work

by the author and by Zorin-Kranich establishing a small partial result

towards this problem, namely that there is some cancellation in these

operators allowing one to improve very slightly over the triangle

inequality bound.

For more information, please contact Nets Katz by email at nets@caltech.edu.