End point estimates for Radon transform of radial functions on Non-Euclidean spaces

TL;DR

This paper establishes endpoint estimates for the Radon transform of radial functions on non-Euclidean spaces such as affine Grassmannians and hyperbolic spaces, with discussions on spherical analogs.

Contribution

It provides new endpoint estimates for Radon transforms on non-Euclidean spaces, extending known results to affine Grassmannians and hyperbolic spaces.

Findings

Proved endpoint estimates for Radon transform on affine Grassmannian.

Extended results to real hyperbolic space.

Discussed analogs on the sphere.

Abstract

We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real hyperbolic space. We also discuss analogs of these results on the sphere.