Continuity of capacity of a holomorphic motion

Thomas Ransford; Malik Younsi; Wen-hui Ai

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arXiv · 2004.05266

Continuity of capacity of a holomorphic motion

Thomas Ransford·Malik Younsi·Wen-hui Ai

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Abstract

We study the behavior of various set-functions under holomorphic motions. We show that, under such deformations, logarithmic capacity varies continuously, while analytic capacity may not.

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Thomas Ransford, Malik Younsi, Wen-hui Ai. 2020-04-11. Continuity of capacity of a holomorphic motion. https://arxiv.org/abs/2004.05266

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