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Czechoslovak Mathematical Journal

, Volume 58, Issue 2, pp 569–575 | Cite as

Two sided norm estimate of the Bergman projection on L p spaces

  • Milutin R. Dostanić
Article

Abstract

We give some explicit values of the constants C 1 and C 2 in the inequality C 1/sin(π/p) ⩽ |P| p C 2/sin(π/p) where |P| p denotes the norm of the Bergman projection on the L p space.

Keywords

Holomorphic Function Unit Ball Open Unit Conformal Mapping Beta Function 
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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References

  1. [1]
    R. M. Range: Holomorphic Functions and Integral Representations in Several Complex Variables. Springer-Verlag, 1986.Google Scholar
  2. [2]
    K. Zhu: Operator Theory in Function Spaces. Marcel Dekker, New York, 1990.zbMATHGoogle Scholar
  3. [3]
    K. Zhu: A sharp norm estimate of the Bergman projection on L p spaces, preprint.Google Scholar

Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2008

Authors and Affiliations

  • Milutin R. Dostanić
    • 1
  1. 1.Matematicki fakultetBeogradSerbia

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