Capacities and Hessians in the class of \(m\)-subharmonic functions
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Publication:352190
DOI10.1134/S1064562413010341zbMath1277.32035arXiv1201.6531OpenAlexW1997853344MaRDI QIDQ352190
B. I. Abdullaev, A. S. Sadullaev
Publication date: 4 July 2013
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.6531
Plurisubharmonic functions and generalizations (32U05) Currents (32U40) General pluripotential theory (32U15) Capacity theory and generalizations (32U20) Pluripotential theory (32U99)
Related Items (12)
On the regularity of the complex Hessian equation ⋮ Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\) ⋮ Holomorphic continuation of functions along a fixed direction (survey) ⋮ The classes of $({\rm A}){\rm sh}_{m}$ and $({\rm B}){\rm sh}_{m}$ functions ⋮ Hessian boundary measures ⋮ Complex Hessian operator and generalized Lelong numbers associated to a closed \(m\)-positive current ⋮ Complex Hessian operator and Lelong number for unbounded m-subharmonic functions ⋮ On a characterization of $m$-subharmonic functions with weak singularities ⋮ The classification of holomorphic (m, n)-subharmonic morphisms ⋮ On a family of quasimetric spaces in generalized potential theory ⋮ Decay near boundary of volume of sublevel sets of \(m\)-subharmonic functions ⋮ The Hölder continuous subsolution theorem for complex Hessian equations
Cites Work
- A new capacity for plurisubharmonic functions
- On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on \(C^n\)
- On the Dirichlet problem for Hessian equations
- On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
- Hessian measures. II
- Weak solutions to the complex Hessian equation.
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