\(m\)-generalized Lelong numbers and capacity associated to a class of \(m\)-positive closed currents

DOI10.1007/s00025-018-0933-3zbMath1412.32024OpenAlexW2903557433WikidataQ128895570 ScholiaQ128895570MaRDI QIDQ1729890

Fredj Elkhadhra

Publication date: 28 February 2019

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

Full work available at URL: https://doi.org/10.1007/s00025-018-0933-3

zbMATH Keywords

capacity\(m\)-subharmonic functionspositive currents

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Plurisubharmonic functions and generalizations (32U05) Lelong numbers (32U25) Currents (32U40)

Related Items (3)

On pluripotential theory associated to quaternionic \(m\)-subharmonic functions ⋮ Complex Hessian operator associated to an \(m\)-positive closed current and weighted \(m\)-capacity ⋮ \(m\)-potential theory and \(m\)-generalized Lelong numbers associated with \(m\)-positive supercurrents

Cites Work

• Potential theory in the class of \(m\)-subharmonic functions
• Lelong-Demailly numbers in terms of capacity and weak convergence for closed positive currents
• Lelong numbers of \(m\)-subharmonic functions
• A new capacity for plurisubharmonic functions
• Weak convergence of currents
• A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
• Capacity associated to a positive closed current
• A priori estimates for complex Hessian equations
• Weak solutions to the complex Hessian equation.
• Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions
• Subsolution theorem for 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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