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Irregularity of the Bergman projection on worm domains in C^n
Published 30 Jul 2010 in math.CV | (1007.5513v3)
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 $Lp$-Sobolev spaces for $1\leq p<\infty.$
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