A Hardy Inequality for Ultraspherical Expansions with an Application to 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

Revista:
Journal of Fourier Analysis and Applications

ISSN: 1069-5869

Any de publicació: 2018

Volum: 2

Número: 1

Pàgines: 416-430

Tipus: Article

DOI: 10.1007/S00041-017-9531-0 SCOPUS: 2-s2.0-85014015912 WoS: WOS:000427692500003 GOOGLE SCHOLAR

Altres publicacions en: Journal of Fourier Analysis and Applications

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Projectes relacionats

Ortogonalidad, teoría de la aproximación y aplicaciones en física matemática.

2016/00008/001

Resum

We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity. © 2017 Springer Science+Business Media New York