Complex tangential flows and compactness of the ∂-Neumann operator
Samangi Munasinghe, Emil J. Sträube · Pacific Journal of Mathematics · 2007
We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded pseudoconvex domain in ރ n implying that the ∂-Neumann operator is compact.These conditions are formulated in terms of certain short time flows in suitable complex tangential directions.It is noteworthy that compactness is not established via the known potential theoretic sufficient conditions.Our results generalize to ރ n the ރ 2 results of the second author.