\(m\)-generalized Lelong numbers and capacity associated to a class of \(m\)-positive closed currents
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Publication:1729890
DOI10.1007/s00025-018-0933-3zbMath1412.32024OpenAlexW2903557433WikidataQ128895570 ScholiaQ128895570MaRDI QIDQ1729890
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
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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