Bull. Korean Math. Soc. 2017; 54(2): 705-714
Online first article January 9, 2017 Printed March 31, 2017
https://doi.org/10.4134/BKMS.b160288
Copyright © The Korean Mathematical Society.
Hong Rae Cho and Inyoung Park
Pusan National University, Pohang University of Science and Technology
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
2017; 54(4): 1443-1455
2015; 52(3): 751-759
2013; 50(4): 1277-1288
2010; 47(6): 1171-1180
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd