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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.14655 |
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| _version_ | 1866914162640158720 |
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| author | Kumari, Preeti Muthukumar, P. Sarkar, Jaydeb |
| author_facet | Kumari, Preeti Muthukumar, P. Sarkar, Jaydeb |
| contents | The classical Littlewood's theorem establishes boundedness and provides a norm estimate for composition operators on the Hardy space. In this paper, we offer an alternative proof of boundedness and derive a new norm estimate that improves upon the classical bound given by Littlewood's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14655 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New norm estimate for composition operators Kumari, Preeti Muthukumar, P. Sarkar, Jaydeb Functional Analysis Complex Variables The classical Littlewood's theorem establishes boundedness and provides a norm estimate for composition operators on the Hardy space. In this paper, we offer an alternative proof of boundedness and derive a new norm estimate that improves upon the classical bound given by Littlewood's theorem. |
| title | New norm estimate for composition operators |
| topic | Functional Analysis Complex Variables |
| url | https://arxiv.org/abs/2509.14655 |