Certain Weighted $L^p$-improving estimates for the totally-geodesic $k$-plane transform on simply connected spaces of constant curvature

Aniruddha Deshmukh, Ashisha Kumar

In this article we study the $L^p$-improving mapping properties of the totally-geodesic $k$-plane transform on simply connected spaces of constant curvature, namely, ${\mathbb{R}}^n$…