The Generalized Volterra Integral Operator and Toeplitz Operator on Weighted Bergman Spaces

@article{Du2021TheGV,
  title={The Generalized Volterra Integral Operator and Toeplitz Operator on Weighted Bergman Spaces},
  author={Juntao Du and Songxiao Li and Dan Qu},
  journal={Mediterranean Journal of Mathematics},
  year={2021},
  volume={19}
}
We study the boundedness and compactness of the generalized Volterra integral operator on weighted Bergman spaces with doubling weights on the unit disc. A generalized Toeplitz operator is defined and the boundedness, compactness and Schatten class membership of this operator are investigated on the Hilbert weighted Bergman space. As an application, Schatten class membership of generalized Volterra integral operators are also characterized. Finally, we also get the characterizations of Schatten… 
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