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Norm of the Bergman Projection

David Kalaj, Marijan Marković

Abstract


This paper deals with the the norm of the weighted Bergman projection operator $P_{\alpha}:L^\infty(B)\rightarrow\mathscr{B}$ where $\alpha > - 1$ and $\mathscr{B}$ is the Bloch space of the unit ball $B$ of the $\mathsf{C}^n$. 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 [6].

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DOI: http://dx.doi.org/10.7146/math.scand.a-18007

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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