Some finite weighted energy classes of m-subharmonic functions

DOI10.1142/S0129167X21501019zbMath1487.32181OpenAlexW3198700713MaRDI QIDQ5061443

Vu Viet Hung, Hoang Nhat Quy

Publication date: 11 March 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x21501019

zbMATH Keywords

plurisubharmonic functions\(m\)-subharmonic functions\(m\)-hyperconvex domain

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05)

Cites Work

• Local property of a class of \(m\)-subharmonic functions
• Potential theory in the class of \(m\)-subharmonic functions
• A new capacity for plurisubharmonic functions
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Fine topology, Šilov boundary, and \((dd^ c)^ n\)
• Pluricomplex energy
• Subextension of plurisubharmonic functions with weak singularities
• The general definition of the complex Monge-Ampère operator.
• Local property of the class \(\mathcal E_{\chi}, loc\)
• Weighted pluricomplex energy
• A priori estimates for complex Hessian equations
• Weak solutions to the complex Hessian equation.
• Plurisubharmonic functions with weak singularities
• Hessian measures on m-polar sets and applications to the complex Hessian equations
• The domain of definition of the complex Monge-Ampere operator
• Unnamed Item
• Unnamed Item

This page was built for publication: Some finite weighted energy classes of m-subharmonic functions