Journal d'Analyse Mathématique

, Volume 104, Issue 1, pp 13–23 | Cite as

Norm of Berezin transformon L p space

  • Milutin DostanićEmail author


It is shown that the Berezin transform B on L p (D), where D is the unit disc, has norm \(\left\| B \right\|_p = \tfrac{{p + 1}}{{p^2 }}\tfrac{\pi }{{\sin (\pi /p)}}(1 < p \leqslant \infty )\). Furthermore, the norms of a family of operators (on L p (D)) whose kernels are moduli of Bergman type kernels are also calculated.


Banach Space Unit Disc Toeplitz Operator Bergman Space Previous Inequality 
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Copyright information

© The Hebrew University of Jerusalem 2008

Authors and Affiliations

  1. 1.Matematicki FakultetBeogradSerbia

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