Sharp Estimates for the $\bar{\partial}$-Neumann Problem on Regular Coordinate Domains

Details Sharp Estimates for the $\bar{\partial}$-Neumann Problem on Regular Coordinate Domains Sharp Estimates for the $\bar{\partial}$-Neumann Problem on Regular Coordinate Domains

2008-11-05

arxiv.org/abs/0811.0830v1

Mathematics

Complex Variables

38 pages

Scientific paper

This paper treats subelliptic estimates for the $\bar{\partial}$-Neumann
problem on a class of domains known as regular coordinate domains. Our main
result is that the largest subelliptic gain for a regular coordinate domain is
bounded below by a purely algebraic number, the inverse of twice the
multiplicity of the ideal associated to a given boundary point.

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