Quasicontinuity and maximality of quaternionic plurisubharmonic functions

DOI10.1016/j.jmaa.2014.10.091zbMath1303.30046OpenAlexW2056296538MaRDI QIDQ481942

Dongrui Wan, Wen-Jun Zhang

Publication date: 19 December 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.2014.10.091

zbMATH Keywords

closed positive currentmaximal plurisubharmonic functionquaternionic Monge-Ampère operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Complex Monge-Ampère operators (32W20) Currents (32U40)

Related Items (13)

Viscosity solutions to quaternionic Monge-Ampère equations ⋮ On the linear algebra in the quaternionic pluripotential theory ⋮ Regularity of solutions to the quaternionic Monge-Ampère equation ⋮ On pluripotential theory associated to quaternionic \(m\)-subharmonic functions ⋮ Subsolution theorem and the Dirichlet problem for the quaternionic Monge-Ampère equation ⋮ A variational approach to the quaternionic Monge-Ampère equation ⋮ Weak solutions to the quaternionic Monge-Ampère equation ⋮ Quaternionic Monge-Ampère operator for unbounded plurisubharmonic functions ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ The continuity and range of the quaternionic Monge-Ampère operator on quaternionic space ⋮ The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group ⋮ Hölder continuous solutions to quaternionic Monge-Ampère equations ⋮ On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space

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