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<p>We show that weighted composition operators on weighted Bergman spaces are Toeplitz operators with bounded harmonic symbols if and only if they are multiplication operators.</p>

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Toeplitzness of Weighted Composition Operators on Weighted Bergman Spaces

  • 期刊论文

  • 发表日期：

    2026年1月3日

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  • Jasbir Singh Manhas,
  • Ruhan Zhao

摘要

We show that weighted composition operators on weighted Bergman spaces are Toeplitz operators with bounded harmonic symbols if and only if they are multiplication operators.