Core sets in Kähler manifolds

DOI10.1016/j.jmaa.2023.127175zbMath1517.32106arXiv2201.10403OpenAlexW4323032849MaRDI QIDQ6044186

Ozcan Yazici, Nihat Gökhan Göğüş, Ozan Günyüz

Publication date: 17 May 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10403

zbMATH Keywords

Kähler manifold\(m\)-subharmonic functions

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Plurisubharmonic functions and generalizations (32U05)

Cites Work

• Potential theory in the class of \(m\)-subharmonic functions
• Local maximum property and q-plurisubharmonic functions in uniform algebras
• Further developments of the pluripotential theory (survey)
• On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
• Minimal kernels of weakly complete spaces
• On the holomorphicity of proper harmonic maps between unit balls with the Bergman metrics
• On defining functions and cores for unbounded domains. I
• A priori estimates for complex Hessian equations
• Weak solutions to the complex Hessian equation.
• Holomorphic function theory in several variables. An introduction. Transl. from the French
• On defining functions and cores for unbounded domains. III
• Complex Hessian Equation on Kähler Manifold
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• Pseudoconcave decompositions in complex manifolds
• Plurisubharmonically separable complex manifolds
• On smoothing of plurisubharmonic functions on unbounded domains

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