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arxiv: 1304.7898 · v2 · pith:NBXP626Bnew · submitted 2013-04-30 · 🧮 math.CV · math.FA

The L^p boundedness of the Bergman projection for a class of bounded Hartogs domains

classification 🧮 math.CV math.FA
keywords boundedhartogsbergmanclassdomainsfracboundednesscorresponding
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We generalize the Hartogs triangle to a class of bounded Hartogs domains, and we prove that the corresponding Bergman projections are bounded on $L^p$ if and only if $p$ is in the range $(\frac{2n}{n+1},\frac{2n}{n-1})$.

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