Quaternionic Monge–Ampère Measure on Pluripolar Set  

作　　者：Hichame AMAL Saïd ASSERDA Fadoua BOUKHARI 

机构地区：[1]Department of Mathematics,Laboratory LaREAMI,Regional Centre of Trades of Education and Training,Kenitra,Morocco [2]Ibn Tofail University,Faculty of Sciences,Department of Mathematics,PO 242 Kenitra,Morroco

出　　处：《Acta Mathematica Sinica,English Series》2024年第6期1431-1457,共27页数学学报（英文版）

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).

关 键 词：Quaternion space Monge-Amp`ere operator plurisubharmonic function 

分 类 号：O174.12[理学—数学]