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

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

2009-11-12

arxiv.org/abs/0911.2277v1

Mathematics

Complex Variables

15 pages. submitted to J. Geom. Anal

Scientific paper

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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