A Characterization of the Two-weight Inequality for Riesz Potentials on Cones of Radially Decreasing Functions

Alexander Meskhi, Ghulam Murtaza, Muhammad Sarwar

We establish necessary and sufficient conditions on a weight pair $(v,w)$ governing the boundedness of the Riesz potential operator $I_{\alpha }$ defined on a homogeneous group $G$ from $L…