Journal of Operator Theory

Volume 73, Issue 1, Winter 2015 pp. 113-126.

Norm of the Bergman projection onto the Bloch space

Authors: David Kalaj (1) and Djordjije Vujadinovic (2)
Author institution:(1)Faculty of Mathematics, University of Montenegro, Podgorica, 81000, Montenegro
(2) Faculty of Mathematics, University of Montenegro, Podgorica, 81000, Montenegro

Summary: We consider weighted Bergman projection $P_{\alpha}: L^{\infty}(\Bbb B) \rightarrow {\mathcal B}$ where $\alpha>-1$ and $\mathcal B$ is the Bloch space of the unit ball $\Bbb B$ of the complex space $\Bbb C^n.$ We obtain the exact norm of the operator $P_{\alpha}$ where the Bloch space is observed as a space with norm (and semi-norm) induced from the Besov space $B_{p},0

DOI: http://dx.doi.org/10.7900/jot.2013sep24.2006
Keywords: Bergman projection, Bloch space, operator norm

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