Bulletin of the
Korean Mathematical Society BKMS

Let $A^2_{\alpha,\beta}(\Bn)$ denote the space of holomorphic functions that are $L^2$ with respect to a weight of form $\omega_{\alpha,\beta}(z)=(1-|z|)^\alpha e^{-\frac{\beta}{1-|z|}}$, where $\alpha\in\mathbb R$ and $\beta>0$ on the unit ball $\Bn$. We obtain some results for the boundedness and compactness of Ces\`aro operator on $A^2_{\alpha,\beta}(\Bn)$.

Keywords: Ces\`aro operators, Bergman spaces with exponential weight, unit ball

MSC numbers: 32A36, 47B38