Ukrainian Mathematical Journal

, Volume 46, Issue 7, pp 891–902 | Cite as

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

  • S. B. Vakarchuk


In the Hardy spaceH2 + 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.


Hardy Space Half Plane Numerous Classis 
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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • S. B. Vakarchuk
    • 1
  1. 1.Institute of Geotechnic MechanicsUkrainian Academy of SciencesDnepropetrovsk

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