On supnorm estimates for $\bar\partial$ on infinite type convex domains in $\mathbb C^2$

John Erik Fornaess; Lina Lee; Yuan Zhang

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arXiv · 0911.2277

On supnorm estimates for $\bar\partial$ on infinite type convex domains in $\mathbb C^2$

John Erik Fornaess·Lina Lee·Yuan Zhang

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Abstract

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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BibTeX RIS

John Erik Fornaess, Lina Lee, Yuan Zhang. 2009-11-12. On supnorm estimates for $\bar\partial$ on infinite type convex domains in $\mathbb C^2$. https://arxiv.org/abs/0911.2277

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