Norm of the Bergman Projection

• Autores: David Kalaj, Marijan Markovic
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 115, Nº 1, 2014, págs. 143-160
• Idioma: inglés
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• Resumen

  • 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].