Solving the Kerzman's problem on the sup-norm estimate for $\dbar$ on product domains
Song-Ying Li · arXiv (Cornell University) · 2022
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.