m-Potential theory associated to a positive closed current in the class ofm-sh functions
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Publication:5739786
DOI10.1080/17476933.2015.1133615zbMath1345.32031OpenAlexW2338141241MaRDI QIDQ5739786
Publication date: 20 July 2016
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2015.1133615
Related Items (9)
m-Pluripotential theory on Riemannian spaces and tropical geometry ⋮ \(m\)-generalized Lelong numbers and capacity associated to a class of \(m\)-positive closed currents ⋮ Plurisubharmonic functions and Monge-Ampère operators on complex varieties in bounded domains of \(\mathbb{C}^n\) ⋮ Lelong–Jensen formula, Demailly–Lelong numbers and weighted degree of positive supercurrents ⋮ Complex Hessian operator and generalized Lelong numbers associated to a closed \(m\)-positive current ⋮ On the space of delta \(m\)-subharmonic functions ⋮ Lelong numbers of \(m\)-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
- The Monge-Ampère operator and slicing of closed positive currents
- The general definition of the complex Monge-Ampère operator.
- 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.
- A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
- Complex Monge-Ampère Measures of Plurisubharmonic Functions with Bounded Values Near the Boundary
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