Weighted composition operators on weighted Bergman spaces induced by doubling weights

• Juntao Du ^[2] ; Songxiao Li ^[1] ; Yecheng Shi ^[3]
  1. [1] Lingnan Normal University

     Lingnan Normal University

     China

     
  2. [2] Macau University of Science and Technology (China)
  3. [3] University of Electronic Science and Technology (China)

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• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 3, 2020, págs. 519-539
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, we investigate the boundedness, compactness, essential norm and the Schatten class of weighted composition operators uCφ on Bergman type spaces Apω induced by a doubling weight ω. Let X={u∈H(D):uCφ:Apω→Apω is bounded}. For some regular weights ω, we obtain that X=H∞ if and only if ϕ is a finite Blaschke product.