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arXiv · 2603.05838

Alexander-Taylor's inequality for capacities in complex Sobolev spaces

Ngoc Cuong Nguyen·Do Duc Thai
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Abstract

We prove a sharp inequality between the Alexander-Taylor capacity and the functional capacity in a complex Sobolev space on a compact K\"ahler manifold. The latter space and capacity were introduced by Dinh, Sibony and Vigny.

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Ngoc Cuong Nguyen, Do Duc Thai. 2026-03-06. Alexander-Taylor's inequality for capacities in complex Sobolev spaces. https://arxiv.org/abs/2603.05838

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