Uniqueness properties of \(m\)-subharmonic functions in Cegrell classes

DOI10.1016/j.jmaa.2014.06.008zbMath1293.32038OpenAlexW2057953121MaRDI QIDQ2252095

Pham Hien Bang, Nguyen Quang Dieu, Nguyen Xuan Hong

Publication date: 16 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.06.008

zbMATH Keywords

\(m\)-subharmonic functioncomplex Hessian equation

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items

Solutions to weighted complex \(m\)-Hessian equations on domains in \(\mathbb{C}^n\) ⋮ Hessian boundary measures ⋮ Decay near boundary of volume of sublevel sets of \(m\)-subharmonic functions

Cites Work

• Plurisubharmonic functions with logarithmic singularities
• Pluricomplex energy
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• Polynomial convexity, rational convexity, and currents
• Weak solutions to the complex Hessian equation.
• A unicity theorem for plurisubharmonic functions
• Weighted pluripotential theory in C N