Editing Analytic capacity (section)

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 function|bounded]] [[analytic function]] on '''C'''&nbsp;\&nbsp;''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 [[mathematical singularity|singularities]] of bounded analytic functions.