Factorization of Bloch mappings through a Hilbert space
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909390175469568 |
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| author | Cabrera-Padilla, M. G. Jiménez-Vargas, A. Ruiz-Casternado, D. |
| author_facet | Cabrera-Padilla, M. G. Jiménez-Vargas, A. Ruiz-Casternado, D. |
| contents | We introduce the concept of vector-valued holomorphic mappings on the complex unit disc that factor through a Hilbert space and state the main properties of the space formed by such Bloch mappings equipped with a natural norm: linearization, Bloch transposition, surjective and injective Banach ideal property, Kwapien-type characterization by Bloch domination, and duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_08800 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Factorization of Bloch mappings through a Hilbert space Cabrera-Padilla, M. G. Jiménez-Vargas, A. Ruiz-Casternado, D. Complex Variables Functional Analysis 30H30, 46E15, 46E40, 47B38 We introduce the concept of vector-valued holomorphic mappings on the complex unit disc that factor through a Hilbert space and state the main properties of the space formed by such Bloch mappings equipped with a natural norm: linearization, Bloch transposition, surjective and injective Banach ideal property, Kwapien-type characterization by Bloch domination, and duality. |
| title | Factorization of Bloch mappings through a Hilbert space |
| topic | Complex Variables Functional Analysis 30H30, 46E15, 46E40, 47B38 |
| url | https://arxiv.org/abs/2311.08800 |