Local Indicators for Plurisubharmonic Functions

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A notion of local indicator for a plurisubharmonic function is introduced. The indicator is a certain plurisubharmonic function in the unit polydisc, which controls the behavior of the considered function near a fixed point of its singularity, as well as the residual Monge-Ampere mass of the function at this point. A pluricomplex Green function with respect to given indicators is constructed and applied to the Dirichlet problem for the Monge- Ampere operator in the class of plurisubharmonic functions with isolated singularities.
18 pages, LaTeX; to appear in J. Math. Pures Appl

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Complex Variables, 32F05, 32F07

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http://salesiana.dossiersoluciones.com/handle/123456789/77924

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901014
 http://arxiv.org/abs/math/9901014

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arXiv