Abstract

For a smooth, bounded, pseudoconvex domain Ω ⊂ C n , we derive a new sufficient condition for global regularity of the ∂ ¯ -Neumann operator that generalizes McNealʼs Property ( P ˜ ) , the approximately holomorphic vector fields of Boas and Straube, and a condition involving bounded plurisubharmonic exhaustion functions due to Kohn.

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