论文标题
分析能力和全态运动
Analytic capacity and holomorphic motions
论文作者
论文摘要
我们根据复杂参数，研究由共形图所获得的变形下的紧凑型套件的分析能力的行为。我们表明，在这些变形下，分析能力的对数有谐音。我们还表明，该结果中的假设不能基本削弱。
We study the behavior of the analytic capacity of a compact set under deformations obtained by families of conformal maps depending holomorphically on the complex parameter. We show that, under those deformations, the logarithm of the analytic capacity varies harmonically. We also show that the hypotheses in this result cannot be substantially weakened.
