Weighted composition operators on weighted Bergman spaces induced by doubling weights

Authors

  • Juntao Du
  • Songxiao Li
  • Yecheng Shi

DOI:

https://doi.org/10.7146/math.scand.a-119741

Abstract

In this paper, we investigate the boundedness, compactness, essential norm and the Schatten class of weighted composition operators $uC_\varphi $ on Bergman type spaces $A_\omega ^p $ induced by a doubling weight ω. Let $X=\{u\in H(\mathbb{D} ): uC_\varphi \colon A_\omega ^p\to A_\omega ^p\ \text {is bounded}\}$. For some regular weights ω, we obtain that $X=H^\infty $ if and only if ϕ is a finite Blaschke product.

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Published

2020-09-03

How to Cite

Du, J., Li, S., & Shi, Y. (2020). Weighted composition operators on weighted Bergman spaces induced by doubling weights. MATHEMATICA SCANDINAVICA, 126(3), 519–539. https://doi.org/10.7146/math.scand.a-119741

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Articles