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Weak Continuity of the Complex k-Hessian Operators With Respect To Local Uniform Convergence

Trudinger, Neil; Zhang, Wei

Description

In this paper, we study the properties of k-plurisubharmonic functions defined on domains in ℂn. By the monotonicity formula, we give an alternative proof of the weak continuity of complex k-Hessian operators with respect to local uniform convergence.

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/71001
Source: Bulletin of the Australian Mathematical Society
DOI: 10.1017/S0004972713000336

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