Pluricomplex Green functions and the Dirichlet problem for the complex Monge-Ampère operator

DOI10.1307/mmj/1029005789zbMath0899.31007OpenAlexW2044662076MaRDI QIDQ1380993

Ahmed Zeriahi

Publication date: 17 November 1998

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029005789

zbMATH Keywords

Dirichlet problempluricomplex Green functionLelong numberMonge-Ampère operatorhyperconvex manifold

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Complex Monge-Ampère operators (32W20) Pseudoconvex domains (32T99)

Related Items

The general definition of the complex Monge-Ampère operator., The Dirichlet problem with prescribed interior singularities, Rooftop envelopes and residual plurisubharmonic functions, Weighted Green functions for complex Hessian operators, Subextension of plurisubharmonic functions with bounded Monge--Ampère mass, Monge-Ampère measures on pluripolar sets