On pluripotential theory associated to quaternionic \(m\)-subharmonic functions
type: Item
instance of: scholarly article
title: On pluripotential theory associated to quaternionic \(m\)-subharmonic functions
author: Yanyan Li
published in: The Journal of Geometric Analysis
publication date: 2023-03-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/2206.02501
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 32U15
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 32W20
zbMATH DE Number: 7664042
zbMATH Keywords: quaternionic \(m\)-Hessian operator
zbMATH Keywords: quaternionic \(m\)-subharmonic function
zbMATH Keywords: quaternionic \(m\)-capacity
MaRDI profile type: Publication
OpenAlex ID: W4322625762
cites work: On a family of quasimetric spaces in generalized potential theory
cites work: The geometry of \(m\)-hyperconvex domains
cites work: Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables.
cites work: Quaternionic Monge-Ampère equations
cites work: Pluripotential theory on quaternionic manifolds
cites work: Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry
cites work: Quaternionic determinants
cites work: The Dirichlet problem for a complex Monge-Ampère equation
cites work: Lelong numbers of \(m\)-subharmonic functions
cites work: Weak solutions to the complex Hessian equation.
cites work: Hölder continuous solutions to quaternionic Monge-Ampère equations
cites work: A priori estimates for complex Hessian equations
cites work: \(m\)-generalized Lelong numbers and capacity associated to a class of \(m\)-positive closed currents
cites work: Q3262807
cites work: Subextension of \(m\)-subharmonic functions
cites work: Q4693180
cites work: Hessian measures on m-polar sets and applications to the complex Hessian equations
cites work: Q4002495
cites work: On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
cites work: A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
cites work: Q4693168
cites work: Subsolution theorem for the complex Hessian equation
cites work: Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\)
cites work: A note on the space of delta \(m\)-subharmonic functions
cites work: Plurisubharmonic measures and capacities on complex manifolds
cites work: Potential theory in the class of \(m\)-subharmonic functions
cites work: Quaternionic Monge-Ampère operator for unbounded plurisubharmonic functions
cites work: A variational approach to the quaternionic Monge-Ampère equation
cites work: Potential theory for quaternionic plurisubharmonic functions
cites work: Complex Hessian operator and Lelong number for unbounded m-subharmonic functions
cites work: Viscosity solutions to quaternionic Monge-Ampère equations
cites work: On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space
cites work: Quasicontinuity and maximality of quaternionic plurisubharmonic functions
cites work: The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
cites work: On the linear algebra in the quaternionic pluripotential theory
cites work: The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group
DOI: 10.1007/S12220-023-01197-X
description: scientific article; zbMATH DE number 7664042