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<p>In this paper, we establish a necessary and sufficient condition for two Toeplitz operators with harmonic polynomial symbols to commute on the Newton space. This condition is similar to the theorem proved by Brown–Halmos for Toeplitz operators on the Hardy space, and is also analogous to the result obtained by Axler–Čučković for Toeplitz operators with harmonic symbols on the Bergman space.</p>

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Commuting Toeplitz operators with harmonic polynomial symbols on the Newton space

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Xianchi Tian,
  • Xianfeng Zhao

摘要

In this paper, we establish a necessary and sufficient condition for two Toeplitz operators with harmonic polynomial symbols to commute on the Newton space. This condition is similar to the theorem proved by Brown–Halmos for Toeplitz operators on the Hardy space, and is also analogous to the result obtained by Axler–Čučković for Toeplitz operators with harmonic symbols on the Bergman space.