Commuting Toeplitz and small Hankel operators on the Bergman space

• Wang, Jiawei ^[1] ; Zhang, Jie ^[1] ; Zhao, Xianfeng ^[1]
  1. [1] Chongqing University

     Chongqing University

     China

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 76, Fasc. 2, 2025, págs. 417-433
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper shows that on the Bergman space of the open unit disk, the Toeplitz operator T_{{\overline{p}}+\varphi } and the small Hankel operator \Gamma _\psi commute only in the obvious cases, where \varphi and \psi are both bounded analytic functions, and p is an analytic polynomial.