A stochastic approach to the Shilov boundary

DOI10.1016/0022-1236(87)90032-2zbMath0634.32012OpenAlexW2056353427MaRDI QIDQ1096749

Setsuo Taniguchi, Hiroshi Kaneko

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90032-2

zbMATH Keywords

plurisubharmonic functionsminimum principlepseudoconvex domainShilov boundaryconformal martingales

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20) Pluriharmonic and plurisubharmonic functions (31C10) Martingales and classical analysis (60G46) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items

On the Silov boundary of a pseudoconvex domain in \({\mathbb{C}}^ n\) with \(C^{2+\alpha}\) boundary

Cites Work

• On conformal martingale diffusions and pluripolar sets
• A new capacity for plurisubharmonic functions
• On Dirichlet forms for plurisubharmonic functions
• Espaces de Dirichlet généraux en analyse complexe
• The Dirichlet problem for a complex Monge-Ampère equation
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• A construction of peak functions on weakly pseudoconvex domains
• Asymptotic paths for subharmonic functions
• Exit times for elliptic diffusions and BMO
• On a Generalized Dirichlet Problem for Plurisubharmonic Functions and Pseudo-Convex Domains. Characterization of Silov Boundaries
• The access theorem for subharmonic functions
• Subharmonic analogues of MacLane's classes
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