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

Mathematics – Complex Variables

Scientific paper

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Scientific paper

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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