论文标题
在产品域上解决$ \ dbar $的SUP-NORM估算中解决Kerzman的问题
Solving the Kerzman's problem on the sup-norm estimate for $\dbar$ on product domains
论文作者
论文摘要
在本文中，作者解决了Kerzman在$ n $ dimensional Complece Space上对cauchy-riemann方程的Sup-Norm估算的长期开放问题。该问题自1971年以来就已经开放。他还在有限的产品域$ω^n $上扩展并解决了该问题，其中$ω$要么简单地与$ c^{1，α} $边界连接，要么满足均匀的外部球条件，并带有分段$ c^1 $边界。
In this paper, the author solves the long term open problem of Kerzman on sup-norm estimate for Cauchy-Riemann equation on polydisc in $n$-dimensional complex space. The problem has been open since 1971. He also extends and solves the problem on a bounded product domain $Ω^n$, where $Ω$ either is simply connected with $C^{1,α}$ boundary or satisfies a uniform exterior ball condition with piecewise $C^1$ boundary.
