The classes of $({\rm A}){\rm sh}_{m}$ and $({\rm B}){\rm sh}_{m}$ functions

DOI10.4064/AP230727-30-11OpenAlexW4392249898MaRDI QIDQ6203884

Unnamed Author, B. I. Abdullaev

Publication date: 8 April 2024

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

Full work available at URL: https://doi.org/10.4064/ap230727-30-11

zbMATH Keywords

Hessianplurisubharmonic functions\(m\)-subharmonic

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) General pluripotential theory (32U15)

Cites Work

• Capacities and Hessians in the class of \(m\)-subharmonic functions
• Solutions to degenerate complex Hessian equations
• Potential theory in the class of \(m\)-subharmonic functions
• Further developments of the pluripotential theory (survey)
• On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
• A priori estimates for complex Hessian equations
• Weak solutions to the complex Hessian equation.
• Subsolution theorem for the complex Hessian equation
• \(m\)-subharmonic and \(m\)-plurisubharmonic functions: on two problems of Sadullaev

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