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

David Barrett and Sonmez Sahutoglu
Arxiv ID: 1007.5513Last updated: 3/8/2021
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 $1\leq p<\infty.$

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