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