Pluripotential theory on quaternionic manifolds
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Publication:413696
DOI10.1016/j.geomphys.2011.12.001zbMath1250.30045arXiv1010.3534OpenAlexW2963812509MaRDI QIDQ413696
Publication date: 7 May 2012
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.3534
Functions of hypercomplex variables and generalized variables (30G35) Pluriharmonic and plurisubharmonic functions (31C10)
Related Items (17)
Viscosity solutions to quaternionic Monge-Ampère equations ⋮ The Penrose transform in quaternionic geometry ⋮ On the linear algebra in the quaternionic pluripotential theory ⋮ Smooth approximation of quaternionic plurisubharmonic functions ⋮ 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 ⋮ Quasicontinuity and maximality of quaternionic plurisubharmonic functions ⋮ 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 ⋮ A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet) ⋮ The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group ⋮ Hölder continuous solutions to quaternionic Monge-Ampère equations ⋮ The Cauchy-Szegö kernel for the Hardy space of 0-regular functions on the quaternionic Siegel upper half space ⋮ On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space
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