Weak continuity of the complex \(k\)-Hessian operators with respect to local uniform convergence

Authors

  • N. S. Trudinger Australian National University
  • W. Zhang Australian National University

Keywords:

Complex Monge-Amp`ere operator, complex \(k\)-Hessian measures, weak convergence, mono- tonicity formula.

Abstract

In this paper, we study the properties of \(k\)-plurisubharmonic functions defined on domains in \(C^n\). By the monotonicity formula, we give an alternative proof of the weak continuity of complex \(k\)-Hessian operators with respect to local uniform convergence. 10.1017/S0004972713000336

Published

2014-01-27

Issue

Vol. 89 No. 2 (2014)

Section

Articles
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