The Gelfand and Bernstein widths of some classes of analytic functions. II

The Gelfand widths of the unit ball of $H^2(\nu)$ (the weighted Hardy space) with respect to the metric of the space $L_\infty(T_r)$ are considered ($T_r$ being the circle of radius $r$ centered at the origin), as well as the Bernstein widths of the unit ball of $H^\infty$ with respect to the metric of the space $L_2(T_r,\mu)$. The asymptotic formulas for the widths in the question are established for arbitrary measures $\nu,\mu$. Bibl. 5 titles.