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arxiv: 0911.2277 · v1 · submitted 2009-11-12 · 🧮 math.CV

On supnorm estimates for barpartial on infinite type convex domains in mathbb C²

classification 🧮 math.CV
keywords domainsinfinitetypeconvexestimatesmathbbpartialsupnorm
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In this paper, we study the $\bar\partial$-equation on some convex domains of infinite type in $\mathbb C^2$. In detail, we prove that supnorm estimates hold for infinite exponential type domains provided the exponent is less than 1.

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