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<p>We consider the Cesàro operator in the Hardy space in the upper half plane. We provide a new simple proof of boundedness of this operator and show that this operator is equal to the sum of the identity operator and a unitary operator, which implies its normality.</p>

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On the Cesàro Operator in the Hardy Space in the Upper Half Plane

  • 期刊论文

  • 发表日期：

    2025年11月4日

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  • Valentin V. Andreev,
  • Miron B. Bekker,
  • Joseph A. Cima

摘要

We consider the Cesàro operator in the Hardy space in the upper half plane. We provide a new simple proof of boundedness of this operator and show that this operator is equal to the sum of the identity operator and a unitary operator, which implies its normality.