Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge-Ampère operator

DOI10.1016/j.jmaa.2014.09.022zbMath1307.32028OpenAlexW2024917572MaRDI QIDQ465191

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.09.022

zbMATH Keywords

plurisubharmonic function ordered vector spaces complex Monge-Ampère operator delta-plurisubharmonic function pluricomplex energy

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Monge-Ampère equations (35J96)

Related Items (3)

A note on the space of delta $m$-subharmonic functions ⋮ The convexity of radially symmetric m-subharmonic functions ⋮ On delta $m$-subharmonic functions

Cites Work

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Dynamics of meromorphic mappings with small topological degree. II: Energy and invariant measure
Pluripotential energy
The topology on the space of $\delta$-psh functions in the Cegrell classes
Modulability and duality of certain cones in pluripotential theory
Partial pluricomplex energy and integrability exponents of plurisubharmonic functions
Pluricomplex energy
Local property of the class $\mathcal E_{\chi}, loc$
Viscosity solutions to complex Hessian equations
The Sobolev inequality for complex Hessian equations
A sharp lower bound for the log canonical threshold
The weighted Monge-Ampère energy of quasiplurisubharmonic functions
A priori estimates for complex Hessian equations
Plurifinely plurisubharmonic functions and the Monge Ampère operator
Liouville and Calabi-Yau type theorems for complex Hessian equations
Regularity of Radial Solutions to the Complex Hessian Equations
The complex Monge–Ampère operator
Continuity properties of finely plurisubharmonic functions and pluripolarity
Radially symmetric plurisubharmonic functions
Plurifine potential theory
A Monge-Ampère norm for delta-plurisubharmonic functions
A priori estimates for weak solutions of complex Monge-Amp\`ere equations
The complex Monge-Ampère equation and pluripotential theory
Functions Representable as Differences of Subharmonic Functions
Notions of convexity
Classical potential theory and its probabilistic counterpart.

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