Compactness of the dbar-Neumann problem and Stein neighborhood bases

This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifold M of dimension at least k in the boundary of a smooth bounded pseudoconvex domain in Cn is an obstruction to compactness of the @- Neumann operator on (p, q)-forms for 0 p k n, provided that at...

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Bibliographic Details
Main Author: Sahutoglu, Sonmez
Other Authors: Straube, Emil J.
Format: Others
Language:en_US
Published: Texas A&M University 2006
Subjects:
Online Access:http://hdl.handle.net/1969.1/3879