<p>In this paper, we establish a necessary and sufficient condition for a Toeplitz operator with a bounded pluriharmonic symbol to commute with a Hankel operator with a bounded symbol on the Hardy space of the bidisk.</p>

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Commuting Hankel and Toeplitz operators on the Hardy space of the bidisk

  • Hong Zou,
  • Tao Yu

摘要

In this paper, we establish a necessary and sufficient condition for a Toeplitz operator with a bounded pluriharmonic symbol to commute with a Hankel operator with a bounded symbol on the Hardy space of the bidisk.