Weighted inequalities for the Riesz potential on the sphere

  1. Arenas, A. 1
  2. Ciaurri, Ó. 1
  3. Labarga, E. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Integral Transforms and Special Functions

ISSN: 1065-2469

Year of publication: 2016

Volume: 27

Issue: 6

Pages: 511-522

Type: Article

DOI: 10.1080/10652469.2016.1158176 SCOPUS: 2-s2.0-84961214190 WoS: WOS:000377033800008 GOOGLE SCHOLAR

More publications in: Integral Transforms and Special Functions

Institutional repository: lock_openOpen access Postprint

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Abstract

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.