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A sufficient condition for global regularity of the -Neumann operator

โœ Scribed by Emil J. Straube


Book ID
108051580
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
272 KB
Volume
217
Category
Article
ISSN
0001-8708

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A Sufficient Condition for Compactness o
โœ Jeffery D. McNeal ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 179 KB

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.