Self-improving estimates of growth of subharmonic and analytic functions

Glenier Bello, Dmitry Yakubovich

Given a bounded open subset $\hat{I}\text{c◯}$ and closed subsets $A,B$ of ${\mathbb{R}}^k$, we discuss when an estimate $u(x)\le g(dist(x,A\cup B))$, $x\in \hat{I}\text{c◯}\setminus (A\cup B)$, for a function $u…