Hankel operators on vector-valued Bergman spaces with exponential weights

Abstract

Let $\mathcal{H}$ be a separable Hilbert space and let $A_{\phi }^2(\mathcal{H})$ be the $\mathcal{H}$-valued Bergman spaces with exponential weights. In the present paper, we give the complete characterizations for the boundedness and compactness of Hankel operators on $A_{\phi }^2(\mathcal{H})$. For $p\ge 2$, the Schatten $p$-classes of the Hankel operator with conjugate analytic symbols are studied.

There are some errors in the first part that need to be corrected