Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space

• Date: 1994
• Main Authors: Vakarchuk, S. B., Вакарчук, С. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5672
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the Hardy space $H_2 ℝ_+^2$ of functions analytic in the upper half plane such that $$\sup \left\{ {\int\limits_\mathbb{R} {|f(x + iy)|^2 dx: 0< y< \infty } } \right\}< \infty ,$$ we determine mean $N$-widths and find their exact values for numerous classes of functions.