$overline{partial}$-有界 Lipschitz 域乘积的估计值

arXiv - MATH - Complex Variables Pub Date : 2024-08-30 DOI:arxiv-2409.00293

Song-Ying Li, Sujuan Long, Jie Lao

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引用次数: 0

摘要

让 $D$ 是复平面上的有界域，具有 Lipschitz 边界。在本文中，我们为 L^p_{(0,1)}(D^n)$ 中任意$overline{partial}$闭$(0,1)$形式的$f/$求解乘积域$D^n$上的考奇-里曼方程$\overline{partial} u=f$ 构造了一个积分解算子$T[f]$，并得到了所有$1本文章由计算机程序翻译，如有差异，请以英文原文为准。

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$\overline{\partial}$-Estimates on the product of bounded Lipschitz domain

Let $D$ be a bounded domain in the complex plane with Lipschitz boundary. In the paper, we construct an integral solution operator $T[f]$ for any $\overline{\partial}$ closed $(0,1)$-form $f\in L^p_{(0,1)}(D^n)$ solving the Cauchy-Riemain equation $\overline{\partial} u=f$ on the product domains $D^n$ and obtain the $L^p$-estimates for all $1

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arXiv - MATH - Complex Variables

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