The Gelfand widths of the unit ball of H2(ν) (the weighted Hardy space) with respect to the metric of the space L∞(Tr) are considered (here Tr is the circle of radius r centered at the origin), as well as the Bernstein widths of the unit ball of H∞ with respect to the metric of the space L2(Tr, μ). Asymptotic formulas for the widths in question are established for arbitrary measures ν, μ. Bibliography: 5 titles.
Lebesgue Measure Unit Ball Lower Estimate Asymptotic Formula Blaschke Product
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