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Analysis Seminar – Hanh Nguyen, University of Alabama
September 2, 2016 @ 10:00 am - 11:00 am
Hormander’s Condition for Multilinear Fourier Multipliers
ABSTRACT: Let m be a positive integer. In this talk, we will introduce optimal conditions, expressed in terms of Sobolev spaces, on m-linear Fourier multiplier operators to be bounded from a product of Lebesgue or Hardy spaces to Lebesgue spaces. Our results are sharp and cover the bilinear case (m = 2) obtained by Miyachi and Tomita .