On Dirichlet forms for plurisubharmonic functions
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Publication:1098973
DOI10.1007/BF02392559zbMath0637.32013MaRDI QIDQ1098973
Masami Okada, Masatoshi Fukushima
Publication date: 1987
Published in: Acta Mathematica (Search for Journal in Brave)
plurisubharmonic functionsDirichlet formsDirichlet spacecomplex Monge-Ampère operatorcomplex capacities
Dirichlet forms (31C25) Potentials and capacities on other spaces (31C15) Plurisubharmonic functions and generalizations (32U05) Integration on analytic sets and spaces, currents (32C30)
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Cites Work
- On conformal martingale diffusions and pluripolar sets
- A new capacity for plurisubharmonic functions
- Sur une capacité définie par la forme de Dirichlet associée aux fonctions plurisousharmoniques
- Capacities and extremal plurisubharmonic functions on subset of \(C^ n\).
- Espaces de Dirichlet généraux en analyse complexe
- Équation de la chaleur associée à une fonction plurisousharmonique d'exhaustion et comportement frontière
- On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on \(C^n\)
- Variational properties of the complex Monge-Ampère equation. I: Dirichlet principle
- On the continuity of plurisubharmonic functions along conformal diffusions
- DIRICHLET SPACES
- Plurisubharmonic measures and capacities on complex manifolds
- On the Dirichlet problem for the complex Monge-Ampère operator
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