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 ...
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, ...
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 ...
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