On \(m\)-subharmonic ordering of measures

DOI10.1007/s00025-018-0765-1zbMath1387.32039OpenAlexW3034359008MaRDI QIDQ1743209

van Thien Nguyen

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0765-1

zbMATH Keywords

\(m\)-subharmonic functionCegrell classes

Mathematics Subject Classification ID

General pluripotential theory (32U15)

Related Items

Complex Hessian operator associated to an \(m\)-positive closed current and weighted \(m\)-capacity

Cites Work

• Monge-Ampère measures on pluripolar sets
• The geometry of \(m\)-hyperconvex domains
• The general definition of the complex Monge-Ampère operator.
• Oka's inequality for currents and applications
• A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
• Weak*-convergence of Monge-Ampère measures
• Weak solutions to the complex Hessian equation.
• A general Dirichlet problem for the complex Monge–Ampère operator
• The convexity of radially symmetric m-subharmonic functions
• An ordering of measures induced by plurisubharmonic functions
• Subsolution theorem for the complex Hessian equation