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 Ces\aro operators in the Bergman spaces with exponential weight on the unit ball Bull. Korean Math. Soc. 2017 Vol. 54, No. 2, 705-714 https://doi.org/10.4134/BKMS.b160288Published online March 31, 2017 Hong Rae Cho and Inyoung Park Pusan National University, Pohang University of Science and Technology Abstract : 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 Downloads: Full-text PDF