APPROXIMATION OF NEGATIVE PLURISUBHARMONIC FUNCTIONS WITH GIVEN BOUNDARY VALUES
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Publication:3162637
DOI10.1142/S0129167X10006410zbMath1207.32031MaRDI QIDQ3162637
Publication date: 20 October 2010
Published in: International Journal of Mathematics (Search for Journal in Brave)
Related Items (8)
Approximation of plurifinely plurisubharmonic functions ⋮ Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\) ⋮ Approximation of \(m\)-subharmonic function with given boundary values ⋮ Subextension of plurisubharmonic functions in unbounded hyperconvex domains and applications ⋮ Weighted energy classes of plurifinely plurisubharmonic functions ⋮ On the approximation of weakly plurifinely plurisubharmonic functions ⋮ Monge–Ampère measures of maximal subextensions of plurisubharmonic functions with given boundary values ⋮ The locally \(\mathcal{F}\)-approximation property of bounded hyperconvex domains
Cites Work
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- Monge-Ampère measures on pluripolar sets
- Pluricomplex energy
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- On the definition of the Monge-Ampère operator in \(\mathbb{C}^2\)
- Subextension of plurisubharmonic functions with weak singularities
- The general definition of the complex Monge-Ampère operator.
- A note on the approximation of plurisubharmonic functions
- A Monge-Ampère norm for delta-plurisubharmonic functions
- A general Dirichlet problem for the complex Monge–Ampère operator
- Subextension of plurisubharmonic functions without increasing the total Monge–Ampère mass
- Monge–Ampère boundary measures
- The domain of definition of the complex Monge-Ampere operator
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