Friedrich
Haslinger (Vienne)
"Compactness
for the d-bar Neumann problem"
We
discuss compactness of the d-bar-Neumann operator in the setting of
weighted L2-spaces on C^n. For this purpose we use a description
of relatively compact
subsets of L2- spaces. We also point out how to use this method to
show that property (P) implies compactness for the d-bar-Neumann
operator on a
smoothly bounded pseudoconvex domain and mention an abstract functional
analysis
characterization of compactness of the d-bar-Neumann operator.