Norm of the Bergman projection

Details Norm of the Bergman projection Norm of the Bergman projection

2012-03-27

arxiv.org/abs/1203.6009v1

Mathematics

Complex Variables

16 pages

Scientific paper

This paper deals with the the norm of the weighted Bergman projection operator $P_\alpha:L^\infty\to \mathcal{B}$ where $\alpha>-1$ and $\mathcal{B}$ is the Bloch space of the unit ball of the complex space $\mathbf{C}^n$. We consider two Bloch norms, the standard Bloch norm and invariant norm w.r.t. automorphisms of the unit ball. Our work contains as a special case the main result of the recent paper \cite{Perala}.

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