Quaternionic Monge–Ampère Measure on Pluripolar Set

作     者：Hichame AMAL Saïd ASSERDA Fadoua BOUKHARI Hichame AMAL;Saïd ASSERDA;Fadoua BOUKHARI

作者机构：Department of MathematicsLaboratory LaREAMIRegional Centre of Trades of Education and TrainingKenitraMorocco Ibn Tofail UniversityFaculty of SciencesDepartment of MathematicsPO 242 KenitraMorroco 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第6期

页      面：1431-1457页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Quaternion space Monge-Amp`ere operator plurisubharmonic function 

摘      要：In this paper, we prove that in a hyperconvex domain Ω in H^(n), 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 E(Ω).