The extremal function associated to intrinsic norms
The extremal function associated to intrinsic norms
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DOI：
10.2307/3597188
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发表时间：
2002-07
影响因子：
4.9
通讯作者：
Pengfei Guan
中科院分区：
文献类型：
--
作者：
Pengfei Guan
通过对简并复Monge-Ampere方程的研究，我们建立了与Chern-Levine-Nirenberg和Bedford-Taylor内在范数相关的极值函数的最优正则性。我们证明了陈-莱文-尼伦伯格关于复流形上的扩展内在范数的猜想，并验证了这些范数的贝德福德-泰勒一般表示公式。
Through the study of the degenerate complex Monge-Ampere equation, we establish the optimal regularity of the extremal function associated to intrinsic norms of Chern-Levine-Nirenberg and Bedford--Taylor. We prove a conjecture of Chern-Levine-Nirenberg on the extended intrinsic norms on complex manifolds and verify Bedford-Taylor's representation formula for these norms in general.