On a Monge-Ampere operator for plurisubharmonic functions with analytic singularities
On a Monge-Ampere operator for plurisubharmonic functions with analytic singularities
复制标题
具有解析奇点的多次谐波函数的 Monge-Ampere 算子
DOI：
10.1512/iumj.2019.68.7725
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发表时间：
2017
影响因子：
1.1
通讯作者：
Elizabeth Wulcan
中科院分区：
文献类型：
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作者：
M. Andersson;Zbigniew Blocki;Elizabeth Wulcan
研究了具有解析奇性的多重次调和函数的广义Monge-Schiere算子的连续性.特别是，我们证明了连续性的自然类减少逼近序列。我们还证明了紧K“ahler流形上这样一个函数的Monge-Schiere测度的总质量的一个公式.
We study continuity properties of generalized Monge-Amp\`ere operators for plurisubharmonic functions with analytic singularities. In particular, we prove continuity for a natural class of decreasing approximating sequences. We also prove a formula for the total mass of the Monge-Amp\`ere measure of such a function on a compact K\"ahler manifold.