A Hardy inequality for ultraspherical expansions with an application to the sphere
arXiv:1703.03232 · doi:10.1007/s00041-017-9531-0
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.
12 pages, to be published in Journal of Fourier Analysis and Applications