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].
Published
2014-08-12
How to Cite
Kalaj, D., & Marković, M. (2014). Norm of the Bergman Projection. MATHEMATICA SCANDINAVICA, 115(1), 143-160. https://doi.org/10.7146/math.scand.a-18007
Section
Articles