The continuity and range of the quaternionic Monge-Ampère operator on quaternionic space

DOI10.1007/s00209-016-1716-8zbMath1360.32030OpenAlexW2420263113MaRDI QIDQ510008

Dongrui Wan

Publication date: 16 February 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-016-1716-8

zbMATH Keywords

plurisubharmonic functionspluripotential theoryclosed positive currentsquaternionic Monge-Ampère equations

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Currents (32U40) General pluripotential theory (32U15)

Related Items (8)

Viscosity solutions to quaternionic Monge-Ampère equations ⋮ On the linear algebra in the quaternionic pluripotential theory ⋮ Subsolution theorem and the Dirichlet problem for the quaternionic Monge-Ampère equation ⋮ A variational approach to the quaternionic Monge-Ampère equation ⋮ Quaternionic Monge-Ampère operator for unbounded plurisubharmonic functions ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group ⋮ On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space

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