Quaternionic Monge–Ampère Measure on Pluripolar Set

期刊论文
发表日期：

2024年2月2日

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Hichame Amal,
Saïd Asserda,
Fadoua Boukhari

摘要

In this paper, we prove that in a hyperconvex domain Ω in ℍⁿ, if a non-negative Borel measure is dominated by a quaternionic Monge–Ampère measure, then it is a quaternionic Monge–Ampère measure of a function in the class \({\cal E}(\Omega )\) .