Lelong numbers of \(m\)-subharmonic functions

DOI10.1016/j.jmaa.2018.06.055zbMath1475.32023arXiv1710.03464OpenAlexW2963074130MaRDI QIDQ724701

Noureddine Ghiloufi, Amel Benali

Publication date: 26 July 2018

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

Full work available at URL: https://arxiv.org/abs/1710.03464

zbMATH Keywords

Lelong numbers\(m\)-subharmonic functionspositive currents

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) Lelong numbers (32U25) Currents (32U40)

Related Items (7)

A note on the space of delta \(m\)-subharmonic functions ⋮ Weighted Green functions for complex Hessian operators ⋮ On pluripotential theory associated to quaternionic \(m\)-subharmonic functions ⋮ \(m\)-generalized Lelong numbers and capacity associated to a class of \(m\)-positive closed currents ⋮ Lelong–Jensen formula, Demailly–Lelong numbers and weighted degree of positive supercurrents ⋮ Poincaré- and Sobolev- type inequalities for complex \(m\)-Hessian equations ⋮ \(m\)-potential theory and \(m\)-generalized Lelong numbers associated with \(m\)-positive supercurrents

Cites Work

• On the space of delta \(m\)-subharmonic functions
• Prolongement des courants, positifs, fermes de masse finie
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Sublevel sets and pull-backs of plurisubharmonic functions
• A sharp lower bound for the log canonical threshold
• A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
• A priori estimates for complex Hessian equations
• Weak solutions to the complex Hessian equation.
• m-Potential theory associated to a positive closed current in the class ofm-sh functions
• Complex Hessian operator and Lelong number for unbounded m-subharmonic functions

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