English

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

Complex Variables 2008-04-22 v1

Abstract

For a domain DD of Cn\mathbb{C}^n which is weakly qq-pseudoconvex or qq-pseudoconcave we give a sufficient condition for subelliptic estimates for the ˉ\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

Keywords

Cite

@article{arxiv.0804.3112,
  title  = {Subellipticity of the $\bar\partial$-Neumann problem on a weakly $q$-pseudoconvex/concave domain},
  author = {Tran Vu Khanh and Giuseppe Zampieri},
  journal= {arXiv preprint arXiv:0804.3112},
  year   = {2008}
}