A class of symbols that induce bounded composition operators for Dirichlet-type spaces on the disc
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917927645609984 |
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| author | Beslikas, Athanasios |
| author_facet | Beslikas, Athanasios |
| contents | In this note we study the problem of determining the holomorphic self maps of the unit disc that induce a bounded composition operator on Dirichlet-type spaces. We find a class of symbols $φ$ that induce a bounded composition operator on the Dirichlet-type spaces, by applying results of the multidimensional theory of composition operators for the weighted Bergman spaces of the bi-disc. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10759 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A class of symbols that induce bounded composition operators for Dirichlet-type spaces on the disc Beslikas, Athanasios Complex Variables primary: 30H99, secondary: 30H20 In this note we study the problem of determining the holomorphic self maps of the unit disc that induce a bounded composition operator on Dirichlet-type spaces. We find a class of symbols $φ$ that induce a bounded composition operator on the Dirichlet-type spaces, by applying results of the multidimensional theory of composition operators for the weighted Bergman spaces of the bi-disc. |
| title | A class of symbols that induce bounded composition operators for Dirichlet-type spaces on the disc |
| topic | Complex Variables primary: 30H99, secondary: 30H20 |
| url | https://arxiv.org/abs/2402.10759 |