Hardy inequalities for weighted Dirac operatos
| dc.creator | Adimurthi | |
| dc.creator | Tintarev, Kyril | |
| dc.date | 2008-12-15 | |
| dc.date.accessioned | 2026-07-07T12:12:53Z | |
| dc.date.available | 2026-07-07T12:12:53Z | |
| dc.description | An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight $r^{-b}$ for functions in $\R^n$. The exact Hardy constant $c_b=c_b(n)$ is found and generalized minimizers are given. The constant $c_b$ vanishes on a countable set of $b$, which extends the known case $n=2$, $b=0$ which corresponds to the trivial Hardy inequality in $\R^2$. Analogous inequalities are proved in the case $c_b=0$ under constraints and, with error terms, for a bounded domain. | |
| dc.identifier | https://arxiv.org/abs/0812.2778 | |
| dc.identifier | http://arxiv.org/abs/0812.2778 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210692 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q10; 35Q75; 46N10; 81Q10 | |
| dc.title | Hardy inequalities for weighted Dirac operatos | |
| dc.type | text |