Hardy-Littlewood-type theorems for Fourier transforms in ${\mathbb{R}}^d$

Mikhail Dyachenko, Erlan Nursultanov, Sergey Tikhonov +1

We obtain Fourier inequalities in the weighted $L_p$ spaces for any $1<p<\infty$ involving the Hardy-Cesàro and Hardy-Bellman operators. We extend these results to product Hardy sp…