The \(C^{1,1}\) regularity of the pluricomplex Green function
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Publication:5954525
DOI10.1307/mmj/1030132530zbMath0989.32008OpenAlexW1482509802MaRDI QIDQ5954525
Publication date: 4 February 2002
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1307/mmj/1030132530
Complex Monge-Ampère operators (32W20) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)
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Complex geodesics and complex Monge-Ampère equations with boundary singularity ⋮ Envelopes with prescribed singularities ⋮ Applications of the duality between the homogeneous complex Monge-Ampère equation and the Hele-Shaw flow ⋮ Regularity of the \(p\)-Bergman kernel ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ The pluricomplex Poisson kernel for strongly pseudoconvex domains ⋮ Cauchy–Riemann meet Monge–Ampère ⋮ Large solutions to complex Monge-Ampère equations: existence, uniqueness and asymptotics ⋮ Lipschitzness of the Lempert and Green functions ⋮ Interior regularity of the degenerate Monge-Ampère equation ⋮ Propagation of regularity for Monge-Ampère exhaustions and Kobayashi metrics
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