On the Cesàro operator in the Hardy space in the upper half plane

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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Bibliographic Details
Date:2026
Main Authors: Andreev, Valentin V., Bekker, Miron B., Cima, Joseph A.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8523
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal