Constructive Approximation

, Volume 8, Issue 2, pp 141–159 | Cite as

On optimal recovery of a holomorphic function in the unit ball of Cn

  • K. Y. Osipenko
  • M. I. Stessin


Some problems of optimal recovery in the Hardy and Bergman spaces in the unit ball ofC n are solved. In particular, some variants of the Schwartz Lemma follow.

AMS classification

30C80 30E10 

Key words and phrases

Hardy space Bergman space Optimal recovery Unit ball ofCn 


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Copyright information

© Springer-Verlag New York Inc. 1992

Authors and Affiliations

  • K. Y. Osipenko
    • 1
  • M. I. Stessin
    • 2
  1. 1.Department of MathematicsMoscow Institute of Aviation TechMoscowUSSR
  2. 2.Department of MathematicsNorthwestern UniversityEvanstonUSA

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