On pluripotential theory associated to quaternionic \(m\)-subharmonic functions
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Publication:2690644
DOI10.1007/S12220-023-01197-XOpenAlexW4322625762MaRDI QIDQ2690644
Publication date: 17 March 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.02501
quaternionic \(m\)-capacityquaternionic \(m\)-Hessian operatorquaternionic \(m\)-subharmonic function
Functions of hypercomplex variables and generalized variables (30G35) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15)
Cites Work
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- Viscosity solutions to quaternionic Monge-Ampère equations
- Pluripotential theory on quaternionic manifolds
- Potential theory in the class of \(m\)-subharmonic functions
- Quasicontinuity and maximality of quaternionic plurisubharmonic functions
- Lelong numbers of \(m\)-subharmonic functions
- The Dirichlet problem for a complex Monge-Ampère equation
- Quaternionic determinants
- Quaternionic Monge-Ampère equations
- On the linear algebra in the quaternionic pluripotential theory
- The geometry of \(m\)-hyperconvex domains
- \(m\)-generalized Lelong numbers and capacity associated to a class of \(m\)-positive closed currents
- Quaternionic Monge-Ampère operator for unbounded plurisubharmonic functions
- On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
- Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables.
- The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group
- On a family of quasimetric spaces in generalized potential theory
- A note on the space of delta \(m\)-subharmonic functions
- Subextension of \(m\)-subharmonic functions
- A variational approach to the quaternionic Monge-Ampère equation
- The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
- Hölder continuous solutions to quaternionic Monge-Ampère equations
- A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
- On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space
- Potential theory for quaternionic plurisubharmonic functions
- Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\)
- Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry
- A priori estimates for complex Hessian equations
- Weak solutions to the complex Hessian equation.
- Plurisubharmonic measures and capacities on complex manifolds
- Hessian measures on m-polar sets and applications to the complex Hessian equations
- Subsolution theorem for the complex Hessian equation
- Complex Hessian operator and Lelong number for unbounded m-subharmonic functions
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