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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.14724 |
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| _version_ | 1866913439199264768 |
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| author | Park, Inyoung |
| author_facet | Park, Inyoung |
| contents | In this paper, we obtain a complete characterization for the compact difference of two composition operators acting on Bergman spaces with a rapidly decreasing weight $ω=e^{-η}$, $Δη>0$. In addition, we provide simple inducing maps which support our main result. We also study the topological path connected component of the space of all bounded composition operators on $A^2(ω)$ endowed with the Hilbert-Schmidt norm topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14724 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kernel-induced distance and its applications to Composition operators on Large Bergman spaces Park, Inyoung Functional Analysis In this paper, we obtain a complete characterization for the compact difference of two composition operators acting on Bergman spaces with a rapidly decreasing weight $ω=e^{-η}$, $Δη>0$. In addition, we provide simple inducing maps which support our main result. We also study the topological path connected component of the space of all bounded composition operators on $A^2(ω)$ endowed with the Hilbert-Schmidt norm topology. |
| title | Kernel-induced distance and its applications to Composition operators on Large Bergman spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2407.14724 |