The analysis demonstrates boundedness of the Cesàro operator in Hardy space, indicating its normality.
UDC 517.9 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.
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Andreev et al. (2025) studied this question.
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