On delta $m$-subharmonic functions

DOI10.4064/ap3959-9-2916zbMath1367.32025OpenAlexW2541015869MaRDI QIDQ2836003

van Thien Nguyen

Publication date: 30 November 2016

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap3959-9-2916

zbMATH Keywords

quasi-Banach spaces\(m\)-subharmonic functions\(m\)-hyperconvex domains

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05)

Related Items (12)

Structure of singular sets of some classes of subharmonic functions ⋮ On the regularity of the complex Hessian equation ⋮ 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 ⋮ Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\) ⋮ Hessian boundary measures ⋮ On a characterization of $m$-subharmonic functions with weak singularities ⋮ Poincaré- and Sobolev- type inequalities for complex \(m\)-Hessian equations ⋮ On a family of quasimetric spaces in generalized potential theory ⋮ The \(m\)-Hessian operator on some weighted energy classes of delta \(m\)-subharmonic functions ⋮ On the weighted \(m\)-energy classes

Cites Work

• Vector spaces of delta-plurisubharmonic functions and extensions of the complex Monge-Ampère operator
• The topology on the space of \(\delta\)-psh functions in the Cegrell classes
• Modulability and duality of certain cones in pluripotential theory
• The Dirichlet problem for a complex Monge-Ampère equation
• Subextension of plurisubharmonic functions with weak singularities
• A priori estimates for complex Hessian equations
• A Monge-Ampère norm for delta-plurisubharmonic functions
• The range of the complex Monge-Ampere operator II

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