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

Catlin, David W.; Cho, Jae-Seong

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

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Description

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.
38 pages