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<p>We find sufficient conditions to ensure the boundedness and compactness of composition operators acting from weighted Bergman spaces on the polydisk into the weighted Bergman spaces on the unit disk. We then take up the same operator acting from the Hardy space on the polydisk into the Hardy space on the unit disk.</p>

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Composition Operators from Bergman Spaces on Polydisk to Bergman Spaces on Unit Disk

  • 期刊论文

  • 发表日期：

    2026年7月3日

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  • A. Abkar

摘要

We find sufficient conditions to ensure the boundedness and compactness of composition operators acting from weighted Bergman spaces on the polydisk into the weighted Bergman spaces on the unit disk. We then take up the same operator acting from the Hardy space on the polydisk into the Hardy space on the unit disk.