arXiv math/04102962004-10-12math.CV

Extremal function of intrinsic norms

Pengfei Guan

备注：: 15 pages, published version
发表信息：: Ann. of Math. (2), Vol. 156 (2002), no. 1, 197--211

英文摘要：

Through the study of the degenerate complex Monge-Ampère 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.

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