Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type

Pratyoosh Kumar, Sanjoy Pusti, Tapendu Rana +1

This article explores weighted $(L^p,L^q)$ inequalities for the Fourier transform in rank one Riemannian symmetric spaces of noncompact type. We establish both necessary and suffi…