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Some remarks on the Cegrell class $\mathcal{F}$

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Publication:3306089
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DOI10.4064/ap200122-26-4zbMath1447.32048arXiv1904.12246OpenAlexW3038532086MaRDI QIDQ3306089

Hoang-Son Do, Thai Duong Do

Publication date: 12 August 2020

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12246


zbMATH Keywords

Monge-Ampère equationstrictly pseudoconvex domainsCegrell class


Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15) Strongly pseudoconvex domains (32T15)


Related Items

Decay near boundary of volume of sublevel sets of \(m\)-subharmonic functions



Cites Work

  • Unnamed Item
  • A new capacity for plurisubharmonic functions
  • Monge-Ampère measures on pluripolar sets
  • The Dirichlet problem for a complex Monge-Ampère equation
  • Pluricomplex energy
  • A Dirichlet problem for the complex Monge-Ampère operator in \(\mathcal F(f)\)
  • A note on the approximation of plurisubharmonic functions
  • A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
  • A general Dirichlet problem for the complex Monge–Ampère operator
  • The domain of definition of the complex Monge-Ampere operator
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