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

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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.

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References

  1. R. M. Range: Holomorphic Functions and Integral Representations in Several Complex Variables. Springer-Verlag, 1986.

  2. K. Zhu: Operator Theory in Function Spaces. Marcel Dekker, New York, 1990.

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  3. K. Zhu: A sharp norm estimate of the Bergman projection on L p spaces, preprint.

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Authors and Affiliations

  1. Matematicki fakultet, Studentski trg 16, 11000, Beograd, Serbia

    Milutin R. Dostanić

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  1. Milutin R. Dostanić
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Partially supported by MNZZS Grant No. ON144010.

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Dostanić, M.R. Two sided norm estimate of the Bergman projection on L p spaces. Czech Math J 58, 569–575 (2008). https://doi.org/10.1007/s10587-008-0036-5

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  • DOI: https://doi.org/10.1007/s10587-008-0036-5

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