Widths of the unit ball of \(H^ \infty\) in the weighted spaces \(L_ q(\mu)\) (Q1324683)

Let \(H^ \infty(D)\) denote the Banach algebra of bounded analytic functions on the open unit disk \(D=\{z\in \mathbb{C}: | z|< 1\}\). Let \(L_ q(\mu)\) denote the usual Lebesgue space, where \(\mu\) is a finite Borel measure on \(D\). In the paper under review, the author states (without proof) several theorems involving exact values, asymptotics or weak asymptotics of the Kolmogorov and Gelfand widths of the embedding operator of \(H^ \infty\) into \(L_ q(\mu)\) for various classes of measures \(\mu\).