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• W2950248865 abstract "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 $L^p_{dec,r}(w, G)$ to $L^q(v, G)$, where $L^p_{dec,r}(w, G)$ is the Lebesgue space defined for non-negative radially decreasing functions on $G$. The same problem is also studied for the potential operator with product kernels $I_{alpha_1, alpha_2}$ defined on a product of two homogeneous groups $G_1times G_2$. In the latter case weights, in general, are not of product type. The derived results are new even for Euclidean spaces." @default.
• W2950248865 created "2019-06-27" @default.
• W2950248865 creator A5001577272 @default.
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• W2950248865 date "2014-06-23" @default.
• W2950248865 modified "2023-09-27" @default.
• W2950248865 title "A Characterization of the Two-weight Inequality for Riesz Potentials on Cones of Radially Decreasing Functions" @default.
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• W2950248865 hasPublicationYear "2014" @default.
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