2019
Том 71
№ 11

All Issues

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

Vakarchuk S. B.

Full text (.pdf)


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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 891-902.

Citation Example: Vakarchuk S. B. Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 814–824.

Full text