Composition-differentiation operators on weighted Dirichlet spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917452304089088 |
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| author | Sen, Anirban Barik, Somdatta paul, Kallol |
| author_facet | Sen, Anirban Barik, Somdatta paul, Kallol |
| contents | We characterize bounded, compact, and Hilbert-Schmidt composition-differentiation operators on weighted Dirichlet spaces. The essential norm is estimated via the asymptotic behavior of a function that involves the generalized Nevanlinna counting function of the inducing map. Norm estimates for particular inducing maps are given, and examples are provided to demonstrate the applicability of the results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00213 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Composition-differentiation operators on weighted Dirichlet spaces Sen, Anirban Barik, Somdatta paul, Kallol Functional Analysis Primary: 47B38, Secondary: 47A05, 30H05 We characterize bounded, compact, and Hilbert-Schmidt composition-differentiation operators on weighted Dirichlet spaces. The essential norm is estimated via the asymptotic behavior of a function that involves the generalized Nevanlinna counting function of the inducing map. Norm estimates for particular inducing maps are given, and examples are provided to demonstrate the applicability of the results. |
| title | Composition-differentiation operators on weighted Dirichlet spaces |
| topic | Functional Analysis Primary: 47B38, Secondary: 47A05, 30H05 |
| url | https://arxiv.org/abs/2605.00213 |