arXiv subjects

Jae-Seong Cho

Publications and source records attributed to Jae-Seong Cho.

2 recordsLinked to original sources

arXiv2008

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

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.

math.CV↗

arXiv2008

Monotonicity of Subelliptic Estimates on Rigid Pseudoconvex Domains

This paper presents monotonicity of subelliptic estimates on rigid pseudoconvex domains. As an application of monotonicity, we will show that if a rigid monomial domain is of finite type in the D'Angelo's sense, then the sharp subelliptic estimate of this domain equals the reciprocal of the type.

math.CV↗