WEAK CONTINUITY OF THE COMPLEX -HESSIAN OPERATORS WITH RESPECT TO LOCAL UNIFORM CONVERGENCE

DOI10.1017/S0004972713000336zbMath1296.32016MaRDI QIDQ5409871

Wei Zhang, Neil S. Trudinger

Publication date: 15 April 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

weak convergencemonotonicity formulacomplex Monge-Ampère operatorcomplex \(k\)-Hessian measures

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Spaces of measures, convergence of measures (28A33) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (1)

The exterior Dirichlet problem for the homogeneous complex \(k\)-Hessian equation

Cites Work

• Unnamed Item
• Hessian measures on the Heisenberg group
• Quelques problèmes de prolongement de courants en analyse complexe
• Sums of continuous plurisubharmonic functions and the complex Monge- Ampère operator in \({\mathbb{C}}^ n\)
• Fine topology, Šilov boundary, and \((dd^ c)^ n\)
• Hessian measures. I
• The Dirichlet problem for a complex Monge-Ampère equation
• Hessian measures. II
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• Maximum and Comparison Principles for Convex Functions on the Heisenberg Group
• New properties of convex functions in the Heisenberg group
• Continuity of the complex Monge-Ampère operator
• The domain of definition of the complex Monge-Ampere operator

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