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

  • S. B. Vakarchuk Днепропетр. ун-т им. А. Нобеля

Abstract

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.
Published
25.07.1994
How to Cite
VakarchukS. B. “Exact Values of Mean $n$-Widths for the Classes of Functions Analytic in the Upper Half Plane in the Hardy Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 7, July 1994, pp. 814–824, https://umj.imath.kiev.ua/index.php/umj/article/view/5672.
Section
Research articles