Complex tangential flows and compactness of the -Neumann operator Academic Article uri icon


  • We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded pseudoconvex domain in Cn 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 Cn the C2 results of the second author.

published proceedings

  • Pacific Journal of Mathematics

author list (cited authors)

  • Munasinghe, S., & Straube, E.

citation count

  • 3

complete list of authors

  • Munasinghe, Samangi||Straube, Emil

publication date

  • October 2007