A Hardy Inequality for Ultraspherical Expansions with an Application to the Sphere
- Arenas, A. 1
- Ciaurri, Ó. 1
- Labarga, E. 1
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1
Universidad de La Rioja
info
ISSN: 1069-5869
Year of publication: 2018
Volume: 2
Issue: 1
Pages: 416-430
Type: Article
More publications in: Journal of Fourier Analysis and Applications
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Abstract
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