Geometric conditions which imply compactness of the $\bar{\partial}$-Neumann operator
Complex Variables
2007-05-23 v1 Analysis of PDEs
Abstract
For smooth bounded pseudoconvex domains in , we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the -Neumann operator. It is noteworthy that the proof of compactness does \emph{not} proceed via verifying the known potential theoretic sufficient conditions.
Cite
@article{arxiv.math/0309200,
title = {Geometric conditions which imply compactness of the $\bar{\partial}$-Neumann operator},
author = {Emil J. Straube},
journal= {arXiv preprint arXiv:math/0309200},
year = {2007}
}
Comments
10 pages