Good Stein neighborhood bases and regularity of the ∂̄-Neumann problem
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We show that the ∂̄-Neumann problem is globally regular on a smooth bounded pseudoconvex domain in ℂn whose closure admits a sufficiently nice Stein neighborhood basis. We also discuss (what turns out to be) a generalization: global regularity holds as soon as the weakly pseudoconvex directions at boundary points are limits, from inside, of weakly pseudoconvex directions of level sets of the boundary distance.
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