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Toeplitz operators on Bergman spaces induced by doubling weights on the unit ball of $\mathbb{C}^n$

Complex Variables 2019-09-24 v1 Functional Analysis

Abstract

The boundedness and compactness of Toeplitz operator from AωpA_\omega^p to AωqA_\omega^q with doubling weights ω\omega are studied in this paper. The characterizations of Schatten class Toeplitz operators and Volterra operators on Aω2A_\omega^2 are also investigated.

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Cite

@article{arxiv.1909.09833,
  title  = {Toeplitz operators on Bergman spaces induced by doubling weights on the unit ball of $\mathbb{C}^n$},
  author = {Juntao Du and Songxiao Li},
  journal= {arXiv preprint arXiv:1909.09833},
  year   = {2019}
}

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49 pages