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arXiv · 0906.3982

On some weighted energy classes of plurisubharmonic functions

Le Mau Hai·Pham Hoang Hiep
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Abstract

In this paper we study the relation between the weighted energy class $\mathcal{E}_χ$ introduced by S. Benelkouchi, V. Guedj and A. Zeriahi recently with the classes $\mathcal{E}$ and $\mathcal{N}$ studied by Cegrell. Moreover, we establish a generalized comparison principle for the operator $\text{M}_χ$ and, as an application, we prove a slight version of existence of solutions of Monge-Ampère type equation in the class $\mathcal{E}_χ(H,Ø)$.

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Le Mau Hai, Pham Hoang Hiep. 2009-07-03. On some weighted energy classes of plurisubharmonic functions. https://arxiv.org/abs/0906.3982

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