Irregularity of the Bergman projection on worm domains in C^n

Abstract

We construct higher-dimensional versions of the Diederich-Fornaess worm domains and show that the Bergman projection operators for these domains are not bounded on high-order $L^p$-Sobolev spaces for $1\le p<\infty .$

some typos are corrected, to appear in Michigan Math. J

References in corpus (1)

• The Bergman kernel and projection on non-smooth worm domains

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