Essential Norm of an Operator From The Weighted Hilbert-Bergman Space to The Bloch-Type Space

Abstract

This note calculates the essential norm of a recently introduced integral-type operator from the Hilbert-Bergman weighted space $A_{\alpha }^2(\mathbb{B}),\alpha \ge -1$ to a Bloch-type space on the unit ball $\mathbb{B}\subset {\mathbb{C}}^n$.