Pitt's inequality with sharp convolution estimates
| dc.creator | Beckner, William | |
| dc.date | 2006-12-18 | |
| dc.date | 2007-01-03 | |
| dc.date.accessioned | 2026-07-07T07:37:56Z | |
| dc.date.available | 2026-07-07T07:37:56Z | |
| dc.description | Sharp $L^p$ extensions of Pitt's inequality expressed as a weighted Sobolev inequality are obtained using convolution estimates and Stein-Weiss potentials. More generally, optimal constants are obtained for the full Stein-Weiss potential as a map from $L^p$ to itself, and new proofs are given for the classical Pitt and Stein-Weiss estimates. | |
| dc.description | v.2 Added referenes, new results on logarithmic uncertainty, gradient estimates and mixed homogeneity, and corrected misprints. 12 pages, amslatex | |
| dc.identifier | https://arxiv.org/abs/math/0612486 | |
| dc.identifier | http://arxiv.org/abs/math/0612486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120945 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58J70, 42B10, 35A15 | |
| dc.title | Pitt's inequality with sharp convolution estimates | |
| dc.type | text |