Analytic capacity: discrete approach and curvature of measure
Analytic capacity: discrete approach and curvature of measure
复制标题
分析能力：离散方法和测量曲率
DOI：
--
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
M. Nikov
中科院分区：
文献类型：
--
作者：
M. apos;M. Nikov
引入了某些离散的“可计算”量，并找出了它们之间的相互联系以及与分析能力的关系。引入了测度曲率的概念，该概念在计算该测度的柯西变换的-范数时自然出现。获得分析能力的下限，该下限使用测量曲率并且在某种程度上具有几何性质。
Certain discrete `computable' quantities are introduced, and their interconnections and relations with analytic capacity are found out. The concept of curvature of a measure is introduced, which emerges naturally in the computations of the -norm of the Cauchy transform of this measure. A lower bound on the analytic capacity, which uses the measure curvature and which has, to this extent, a geometric nature, is obtained.