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 ...

We investigate Hörmander spectral multiplier theorems as they hold on X = Lp(Ω),1 < p < ∞, for many self-adjoint elliptic differential operators A including the standard Laplacian on ℝd. A ...

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, ...