The Diederich-Fornaess Index and Good Vector Fields

2017/05/16 by Harrington, Phillip S. · 1 citation
#32T35 #32U10 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.05815

Abstract

We consider the relationship between two sufficient conditions for regularity of the Bergman Projection on smooth, bounded, pseudoconvex domains. We show that if the set of infinite type points is reasonably well-behaved, then the existence of a family of good vector fields in the sense of Boas and Straube implies that the Diederich-Fornaess Index of the domain is equal to one.

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• Diederich-Fornæss index and global regularity of the complex Green operator: domains with comparable Levi eigenvalues

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