Munasinghe, Samangi (2009-06). Geometric sufficient conditions for compactness of the ?-Neumann operator. Doctoral Dissertation. Thesis uri icon

abstract

  • For smooth bounded pseudoconvex domains in Cn, we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the ?-Neumann operator. This is an extension of a theorem of Straube for smooth bounded pseudoconvex domains in C2.

publication date

  • August 2006