Weak Continuity of the Complex k-Hessian Operators With Respect To Local Uniform Convergence
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Trudinger, Neil
Zhang, Wei
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Australian Mathematics Publishing Association
Abstract
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.
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Bulletin of the Australian Mathematical Society