Gel'fand widths of certain classes of analytic functions

A formula, generalizing certain earlier known formulas of the same type, is obtained for the $n$th Gel'fand width of the imbedding operator
$$ J\colon X^2(G)\to L_\infty(E), $$
where $G$ is a domain in $\mathbb{C}^m$ and $X^2(G)$ is some Hilbert space of analytic functions in $G$ with a reproducing kernel.