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arxiv: math/0510354 · v2 · submitted 2005-10-17 · 🧮 math.CV · math.AP

A sufficient condition for global regularity of the d-bar-Neumann operator

classification 🧮 math.CV math.AP
keywords d-bar-neumannglobaloperatorregularityapproachesapproximatelyauthorboas
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A theory of global regularity of the d-bar-Neumann operator is developed which unifies the two principal approaches to date, namely the one via compactness due to Kohn-Nirenberg and Catlin, and the one via plurisubharmonic defining functions and/or vector fields that commute approximately with d-bar due to Boas and the author.

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