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Analysis Seminar

Friday, April 12, 2019
3:00pm to 4:00pm
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Linde Hall 255
A boundedness criterion for bilinear Fourier multipliers
Lenka Slavikova, Mathematics Department, University of Missouri,

We will present a sharp criterion for $L^2 \times L^2 \to L^1$ boundedness of bilinear operators associated with multipliers with $L^\infty$ derivatives, given in terms of $L^q$ integrability of the multiplier. More precisely, we will show that boundedness holds if and only if $q<4$. We will then discuss applications of this result concerning bilinear rough singular integrals. This is a joint work with L. Grafakos and D. He.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at [email protected].