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A Sufficient Condition for Compactness of the ∂̄-Neumann Operator

✍ Scribed by Jeffery D. McNeal

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
179 KB
Volume
195
Category
Article
ISSN
0022-1236

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✦ Synopsis

We show that the existence of a certain family of plurisubharmonic functions on a bounded domain in C n implies that the % @ @-Neumann operator associated to the domain is compact. Our condition generalizes previous work of Catlin on compactness of the % @ @-Neumann operator.

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