Precise subelliptic estimates for a class of special domains
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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 $\partialΩ$.
9 pages
9 pages