Boundary-Weighted Fourier Inequalities for Convex Domains

Konstantinos Bampouras, Karl-Mikael Perfekt

We consider the natural family of Fourier inequalities for the Paley--Wiener space ${\mathrm{PW}}^q(\Omega )$, consisting of $L^q$-functions with Fourier support in a convex set $Ω\subset…