132 research outputs found
A minimum principle for plurisubharmonic functions
The main goal of this work is to give new and precise generalizations to
various classes of plurisubharmonic functions of the classical minimum modulus
principle for holomorphic functions of one complex variable, in the spirit of
the famous lemma of Cartan-Boutroux. As an application we obtain precise
estimates on the size of "plurisubharmonic lemniscates" in terms of appropriate
Hausdorff contents
Open problems in pluripotential theory
We propose a list of open problems in pluripotential theory partially
motivated by their applications to complex differential geometry. The list
includes both local questions as well as issues related to the compact complex
manifold setting.Comment: 27 page
Subextension of plurisubharmonic functions with weak singularities
We prove several results showing that plurisubharmonic functions with various
bounds on their Monge-Ampere masses on a bounded hyperconvex domain always
admit global plurisubharmonic subextension with logarithmic growth at infinity
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