A Hardy inequality for ultraspherical expansions with an application to the sphere
Classical Analysis and ODEs
2017-03-10 v1
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.
Keywords
Cite
@article{arxiv.1703.03232,
title = {A Hardy inequality for ultraspherical expansions with an application to the sphere},
author = {Alberto Arenas and Óscar Ciaurri and Edgar Labarga},
journal= {arXiv preprint arXiv:1703.03232},
year = {2017}
}
Comments
12 pages, to be published in Journal of Fourier Analysis and Applications