Pome

Definition 7.11.1E1129C8F823C

Definition 7.11.1.E1129C8F823C Let $B\subset \mathbb C^ n$, $n\geq 1$, be a ball. We denote by $\mathcal E_0(B)$ the class of bounded plurisubharmonic functions $\varphi \leq 0$ on $B$ such that

\[ \lim _{B\ni z\to \zeta }\varphi (z)=0\quad (\zeta \in \partial B), \qquad \int _ B(\mathrm{dd}^{\mathrm{c}}\varphi )^ n<\infty . \]

For $\varphi \in \mathcal E_0(B)$ and real $p\geq 1$, the local energy moment of order $p$ is

\[ e_ p(\varphi )=\int _ B(-\varphi )^ p(\mathrm{dd}^{\mathrm{c}}\varphi )^ n. \]
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