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Ukrainian Mathematical Journal

, Volume 67, Issue 3, pp 372–380 | Cite as

On One Uniqueness Theorem for a Weighted Hardy Space

  • T. I. Hishchak
Article
  • 30 Downloads
A uniqueness theorem is proved for the space of functions analytic in the right half plane and satisfying the condition
$$ \underset{\left|\upvarphi \right|<\frac{\uppi}{2}}{ \sup}\left\{{\displaystyle \underset{0}{\overset{+\infty }{\int }}{\left|f\left(r{e}^{i\varphi}\right)\right|}^p{e}^{-p\sigma r\left| \sin \varphi \right|}dr}\right\}<+\infty . $$

Keywords

Hardy Space Half Plane Uniqueness Theorem Riemann Problem Interpolation Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • T. I. Hishchak
    • 1
  1. 1.Franko Drohobych Pedagogic UniversityDrohobychUkraine

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