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

Fuente: arXiv
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Main Authors: Nguyen, Ngoc Cuong, Thai, Do Duc
Format: Preprint
Published: 2026
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author Nguyen, Ngoc Cuong
Thai, Do Duc
author_facet Nguyen, Ngoc Cuong
Thai, Do Duc
contents We prove a sharp inequality between the Alexander-Taylor capacity and the functional capacity in a complex Sobolev space on a compact Kähler manifold. The latter space and capacity were introduced by Dinh, Sibony and Vigny.
format Preprint
id arxiv_https___arxiv_org_abs_2603_05838
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Alexander-Taylor's inequality for capacities in complex Sobolev spaces
Nguyen, Ngoc Cuong
Thai, Do Duc
Complex Variables
We prove a sharp inequality between the Alexander-Taylor capacity and the functional capacity in a complex Sobolev space on a compact Kähler manifold. The latter space and capacity were introduced by Dinh, Sibony and Vigny.
title Alexander-Taylor's inequality for capacities in complex Sobolev spaces
topic Complex Variables
url https://arxiv.org/abs/2603.05838