Weighted inequalities for the Riesz potential on the sphere
- Arenas, A. 1
- Ciaurri, Ó. 1
- Labarga, E. 1
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1
Universidad de La Rioja
info
ISSN: 1065-2469
Any de publicació: 2016
Volum: 27
Número: 6
Pàgines: 511-522
Tipus: Article
Altres publicacions en: Integral Transforms and Special Functions
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Resum
We prove a version of the Stein–Weiss inequality for the Riesz potential of the conformal Laplacian on the sphere. Moreover, we show that the result can be improved for functions invariant under the action of the group SO(d - 1). This last result will be a consequence of a more general one for ultraspherical expansions. © 2016 Taylor & Francis.