Uniform estimates of the Cauchy-Riemann equation on product domains

Autor:	Yuan, Yuan
Rok vydání:	2022
Předmět:	Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	We observe that the continuity assumption on $f$ for the uniform estimates of the canonical solution to $\bar\partial u = f$ on products of $C^2$ bounded planar domains in \cite{DPZ} can be reduced to the boundedness assumption. This completely answers the original question raised by Kerzman in 1971. Moreover, the $L^p$ estimates of $\bar\partial$ is obtained for all $p \in [1, \infty]$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.02592 Zobrazit plný text záznamu View this record from Arxiv