Subellipticity of the $\bar\partial$-Neumann problem on a weakly $q$-pseudoconvex/concave domain

Details Subellipticity of the $\bar\partial$-Neumann problem on a weakly $q$-pseudoconvex/concave domain Subellipticity of the $\bar\partial$-Neumann problem on a weakly $q$-pseudoconvex/concave domain

2008-04-18

arxiv.org/abs/0804.3112v1

Mathematics

Complex Variables

Scientific paper

For a domain $D$ of $\mathbb{C}^n$ which is weakly $q$-pseudoconvex or
$q$-pseudoconcave we give a sufficient condition for subelliptic estimates for
the $\bar{\partial}$-Neumann problem. The paper extends to domains which are
not necessarily pseudoconvex, the results and the techniques of Catlin.
MSC: 32D10, 32U05, 32V25

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