Geometric sufficient conditions for compactness of the ∂-Neumann operator

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.

Bibliographic Details
Main Author: Munasinghe, Samangi
Other Authors: Straube, Emil J.
Format: Others
Language:en_US
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/1969.1/ETD-TAMU-1809
http://hdl.handle.net/1969.1/ETD-TAMU-1809