Norm of the Bergman projection onto the Bloch space with $\mathcal{M}-$invariant gradient

TL;DR

This paper determines the exact operator norm of the Bergman projection from $L^{ abla^eta}$ to the Bloch space with an $\

Contribution

It proves the conjectured value of the operator norm for the Bergman projection with an $\

Findings

The norm of the Bergman projection with $\

The result confirms the conjecture for the $\

The analysis applies to the $\

Abstract

The value of the operator norm of Bergman projections from $L^{\infty}(\mathbb{B}^n)$ to Bloch space is found in \cite{KalajMarkovic2014}. The authors of mentioned paper proposed the problem of calculating the norm of the same class of operators with different norm on the Bloch space - $\mathcal{M}$-invariant gradient. Here we prove that it has the conjectured value.