Alexander-Taylor's inequality for capacities in complex Sobolev spaces
Complex Variables
2026-03-09 v1
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.
Cite
@article{arxiv.2603.05838,
title = {Alexander-Taylor's inequality for capacities in complex Sobolev spaces},
author = {Ngoc Cuong Nguyen and Do Duc Thai},
journal= {arXiv preprint arXiv:2603.05838},
year = {2026}
}
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16 pages