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

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Ukrainian Mathematical Journal Aims and scope

Abstract

In the Hardy spaceH 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 meanN-widths and find their exact values for numerous classes of functions.

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Authors and Affiliations

  1. Institute of Geotechnic Mechanics, Ukrainian Academy of Sciences, Dnepropetrovsk

    S. B. Vakarchuk

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  1. S. B. Vakarchuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 814–824, July, 1994.

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Vakarchuk, S.B. Exact values of meann-widths for the classes of functions analytic in the upper half plane in the Hardy space. Ukr Math J 46, 891–902 (1994). https://doi.org/10.1007/BF01056666

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  • DOI: https://doi.org/10.1007/BF01056666

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