Definition 16.28.440288BA4D7A38

Definition 16.28.44.0288BA4D7A38 The compact set $K$ is locally pluriregular at $a\in K$ if every $K_ r$, $r>0$, is non-pluripolar and $V_{K_ r}^*(a)=0$. For $\delta >0$ and a bounded function $q$ on $K$, it is locally $(\delta ,q)$-regular at $a$ if $F_{\delta ,K_ r,q}(a)=q(a)$ for every $r>0$.