Approximation of Plurisubharmonic Functions and the Dirichlet Problem for the Complex Monge-Ampère Operator.
Maximal subextensions of plurisubharmonic functions
In our earlier paper [CKZ], we proved that any plurisubharmonic function on a bounded hyperconvex domain in with zero boundary values in a quite general sense, admits a plurisubharmonic subextension to a larger hyperconvex domain. Here we study important properties of its maximal subextension and give informations on its Monge-Ampère measure. More generally, given a quasi-plurisubharmonic function on a given quasi-hyperconvex domain of a compact Kähler manifold , with well defined Monge-Ampère...
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