Precise subelliptic estimates for a class of special domains
| dc.creator | Khanh, Tran Vu | |
| dc.creator | Zampieri, Giuseppe | |
| dc.date | 2008-12-13 | |
| dc.date | 2009-01-07 | |
| dc.date.accessioned | 2026-07-07T12:25:47Z | |
| dc.date.available | 2026-07-07T12:25:47Z | |
| dc.description | For the $\bar\partial$-Neumann problem on a regular coordinate domain $Ω\subset \C^{n+1}$, we prove $ε$-subelliptic estimates for an index $ε$ which is in some cases better than $ε=\frac1{2m}$ ($m$ being the {\it multiplicity}) as it was previously proved by Catlin and Cho in \cite{CC08}. This also supplies a much simplified proof of the existing literature. Our approach is founded on the method by Catlin in \cite{C87} which consists in constructing a family of weights $\{ϕ^δ\}$ whose Levi form is bigger than $δ^{-2ε}$ on the $δ$-strip around $\partialΩ$. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0812.2560 | |
| dc.identifier | http://arxiv.org/abs/0812.2560 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214681 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F10, 32F20, 32N15, 32T25 | |
| dc.title | Precise subelliptic estimates for a class of special domains | |
| dc.type | text |