We prove the following superexponential distribution inequality: for any integrable g on [0, 1)d with zero average, and any λ > 0, | { x∈ [ 0, 1 ) d : g≥λ } |≤ e − λ 2 /( 2 d ‖ S( g ) ‖ ∞ 2 ) , where ...
Proceedings of the American Mathematical Society, Vol. 110, No. 3 (Nov., 1990), pp. 721-726 (6 pages) A very simple proof is given of the sort of square function estimates provided by the T(b) theorem ...
Abstract: This talk will provide an overview of recent developments in Fourier restriction theory, which is the study of exponential sums over restricted frequency sets with geometric structure, ...
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