Modulability and duality of certain cones in pluripotential theory

DOI10.1016/j.jmaa.2009.07.013zbMath1177.31004OpenAlexW2092732738MaRDI QIDQ1034043

Per Åhag, Rafał Czyż

Publication date: 10 November 2009

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.2009.07.013

zbMATH Keywords

quasi-Banach spaceordered vector space\(\delta \)-plurisubharmonic functionmodulability

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10)

Related Items

A note on the space of delta \(m\)-subharmonic functions, The convexity of radially symmetric m-subharmonic functions, On a constant in the energy estimate, Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge-Ampère operator, On a characterization of $m$-subharmonic functions with weak singularities, Measures of finite pluricomplex energy, Poincaré- and Sobolev- type inequalities for complex \(m\)-Hessian equations, On delta $m$-subharmonic functions, On the Moser-Trudinger inequality in complex space, An inequality for the beta function with application to pluripotential theory, On a family of quasimetric spaces in generalized potential theory, The \(m\)-Hessian operator on some weighted energy classes of delta \(m\)-subharmonic functions

Cites Work

• The topology on the space of \(\delta\)-psh functions in the Cegrell classes
• Partial pluricomplex energy and integrability exponents of plurisubharmonic functions
• Banach lattices
• Pluricomplex energy
• A Dirichlet principle for the complex Monge--Ampère operator
• Subextension of plurisubharmonic functions with weak singularities
• Complementarity, equilibrium, efficiency and economics
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• Normality and modulability indices. I: Convex cones in normed spaces
• An approach to nonlinear programming
• On fundamental properties of a Banach space with a cone
• Methods of Mathematical Economics
• A Monge-Ampère norm for delta-plurisubharmonic functions
• Delta-plusharmonic functions.
• An energy estimate for the complex Monge-Ampère operator
• Concerning the energy class E_pfor 0<p<1
• The complex Monge-Ampère equation and pluripotential theory
• Cones and the Decomposition of Functionals
• Functions Representable as Differences of Subharmonic Functions
• Locally bounded linear topological spaces
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