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arXiv · 1406.7083

Norm of the Bergman projection onto the Bloch spave

David Kalaj·Djordjije Vujadinovic
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Abstract

We consider weighted Bergman projection $P_{\alpha}: L^{\infty}(\Bbb B) \rightarrow {\cal B} $ where $\alpha>-1$ and $\cal B$ 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 $B_{p},0<p<\infty,(B_{\infty}=\cal B).$ Our work contains, as a special case, the main results from \cite{Kalaj} and \cite{Ant}.

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David Kalaj, Djordjije Vujadinovic. 2014-06-27. Norm of the Bergman projection onto the Bloch spave. https://arxiv.org/abs/1406.7083

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