$\mathbb{C}^2$的解析子集上的Cartan覆盖和双Bernstein型不等式
Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of $\mathbb{C}^2$
摘要：
证明了二元解析函数迹在$\mathbb{C}^2$解析子集上的二重Bernstein不等式.该估计适用于整个解析集的问题，包括其奇点。证明依赖于一个版本的Cartan估计的地图$\mathbb{C}^2$，我们建立在这项工作中。
英文摘要：
We prove a version of the doubling Bernstein inequalities for the trace of an analytic function of two variables on an analytic subset of $\mathbb{C}^2$. The estimate applies to the whole analytic set in question including its singular points. The proof relies on a version of the Cartan estimate for maps in $\mathbb{C}^2$ which we establish in this work.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
