Bulletin of the Korean Mathematical Society (대한수학회보)

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DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS ON BERGMAN SPACES INDUCED BY DOUBLING WEIGHTS

  • Jiale Chen (School of Mathematics and Statistics Shaanxi Normal University)
  • Received : 2022.08.21
  • Accepted : 2023.07.20
  • Published : 2023.09.30
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Abstract

We characterize the boundedness and compactness of differences of weighted composition operators acting from weighted Bergman spaces Apω to Lebesgue spaces Lq(dµ) for all 0 < p, q < ∞, where ω is a radial weight on the unit disk admitting a two-sided doubling condition.

Keywords

Acknowledgement

This work was supported by the Fundamental Research Funds for the Central Universities(No. GK202207018) of China

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