On the Ces`aro operator on the Hardy space in the upper half-plane
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929365968748544 |
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| author | Andreev, Valentin V. Bekker, Miron B. Cima, Joseph A. |
| author_facet | Andreev, Valentin V. Bekker, Miron B. Cima, Joseph A. |
| contents | We discuss the Ces`aro operator on the Hardy space in the upper half-plane. We provide a new simple proof of the boundedness of this operator, prove that this operator is equal to the sum of the identity operator and a unitary operator, which implies its normality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19627 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Ces`aro operator on the Hardy space in the upper half-plane Andreev, Valentin V. Bekker, Miron B. Cima, Joseph A. Functional Analysis 47B38, 30H10, 47B32 We discuss the Ces`aro operator on the Hardy space in the upper half-plane. We provide a new simple proof of the boundedness of this operator, prove that this operator is equal to the sum of the identity operator and a unitary operator, which implies its normality. |
| title | On the Ces`aro operator on the Hardy space in the upper half-plane |
| topic | Functional Analysis 47B38, 30H10, 47B32 |
| url | https://arxiv.org/abs/2405.19627 |