Compactness of the d-bar-Neumann problem on convex domains
Complex Variables
2009-09-25 v1
Abstract
The d-bar-Neumann operator on (0,q)-forms () on a bounded convex domain Omega in C^n is compact if and only if the boundary of Omega contains no complex analytic (equivalently: affine) variety of dimension greater than or equal to q.
Cite
@article{arxiv.math/9711201,
title = {Compactness of the d-bar-Neumann problem on convex domains},
author = {Siqi Fu and Emil J. Straube},
journal= {arXiv preprint arXiv:math/9711201},
year = {2009}
}