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- In the mathematical discipline of complex analysis, the analytic capacity of a compact subset K of the complex plane is a number that denotes "how big" a bounded analytic function on C \ K can become. Roughly speaking, γ(K) measures the size of the unit ball of the space of bounded analytic functions outside K. It was first introduced by Lars Ahlfors in the 1940s while studying the removability of singularities of bounded analytic functions. (en)
- 在复分析中，复平面的紧子集K的解析容度（analytic capacity）是一个标志了上的有界解析函数可以有“多大”的数。粗略地说，解析容度测量了上的有界解析函数所组成的空间的单位球的大小。 这个概念最早由阿尔福斯在1940年代研究有界解析函数的奇点的可去性时引入。 (zh)
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- 6447 (xsd:nonNegativeInteger)
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- In the mathematical discipline of complex analysis, the analytic capacity of a compact subset K of the complex plane is a number that denotes "how big" a bounded analytic function on C \ K can become. Roughly speaking, γ(K) measures the size of the unit ball of the space of bounded analytic functions outside K. It was first introduced by Lars Ahlfors in the 1940s while studying the removability of singularities of bounded analytic functions. (en)
- 在复分析中，复平面的紧子集K的解析容度（analytic capacity）是一个标志了上的有界解析函数可以有“多大”的数。粗略地说，解析容度测量了上的有界解析函数所组成的空间的单位球的大小。 这个概念最早由阿尔福斯在1940年代研究有界解析函数的奇点的可去性时引入。 (zh)
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- Analytic capacity (en)
- 解析容度 (zh)
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