Monge–Ampère measures of maximal subextensions of plurisubharmonic functions with given boundary values
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Publication:4982014
DOI10.1080/17476933.2014.944177zbMath1322.32025OpenAlexW2113811104MaRDI QIDQ4982014
Publication date: 23 March 2015
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2014.944177
Related Items (10)
Monge–Ampère measures of $\mathcal F$-plurisubharmonic functions ⋮ Approximation of plurifinely plurisubharmonic functions ⋮ A note on maximal subextensions of plurisubharmonic functions ⋮ Complex Monge-Ampère equations for plurifinely plurisubharmonic functions ⋮ Range of the complex Monge–Ampère operator on plurifinely domain ⋮ Convergence in capacity of plurisubharmonic functions with given boundary values ⋮ Weak solutions to the complex \(m\)-Hessian equation on open subsets of \(\mathbb{C}^n\) ⋮ Hölder continuous solutions to the complex Monge-Ampère equations in non-smooth pseudoconvex domains ⋮ Weak solutions to the complex Monge-Ampère equation on open subsets of \(\mathbb{C}^n\) ⋮ The locally \(\mathcal{F}\)-approximation property of bounded hyperconvex domains
Cites Work
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- The general definition of the complex Monge-Ampère operator.
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- A note on the approximation of plurisubharmonic functions
- Convergence in Capacity
- APPROXIMATION OF WEAKLY SINGULAR PLURISUBHARMONIC FUNCTIONS
- APPROXIMATION OF NEGATIVE PLURISUBHARMONIC FUNCTIONS WITH GIVEN BOUNDARY VALUES
- A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
- Pluripolar sets and the subextension in Cegrell's classes
- A general Dirichlet problem for the complex Monge–Ampère operator
- Subextension of plurisubharmonic functions without increasing the total Monge–Ampère mass
- Continuity of the complex Monge-Ampère operator
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