The domain of definition of the quaternionic Monge-Ampère operator

The domain of definition of the quaternionic Monge-Ampère operator
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四元数Monge-Ampere算子的定义域

DOI:
10.1002/mana.201700135
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发表时间:
2019
影响因子:
1
通讯作者:
Dongrui Wan
Dongrui Wan
中科院分区:
数学3区
文献类型:
--
作者:
Dongrui Wan

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本文利用我们在[17-19]中建立的四元数闭正电流理论,给出了四元数Monge-Ampère算子定义域的一个等价刻画。复Monge-Ampère算子的这个定义域是由Blocki[7,8]引入的。
In this paper, we give an equivalent characterization of the domain of definition for the quaternionic Monge–Ampère operator, by using the theory of quaternionic closed positive current we established in [17–19]. This domain of definition for the complex Monge–Ampère operator was introduced by Blocki [7,8].