Weighted composition operators on de Branges-Rovnyak spaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911324244541440 |
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| author | Fricain, Emmanuel Karaki, Muath Mashreghi, Javad Ostermann, Maëva |
| author_facet | Fricain, Emmanuel Karaki, Muath Mashreghi, Javad Ostermann, Maëva |
| contents | In this paper, we characterize the boundedness and the compactness of weighted composition operators acting on a de Branges-Rovnyak space $\mathcal H(b)$, where the symbol $b$ is a rational function in the unit ball of $H^\infty$ that is not a finite Blaschke product. Our results extend those of [2] by exploiting a close relationship between weighted composition operators on $\mathcal H(b)$ and their counterparts on the Hardy space $H^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15287 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted composition operators on de Branges-Rovnyak spaces Fricain, Emmanuel Karaki, Muath Mashreghi, Javad Ostermann, Maëva Complex Variables Functional Analysis In this paper, we characterize the boundedness and the compactness of weighted composition operators acting on a de Branges-Rovnyak space $\mathcal H(b)$, where the symbol $b$ is a rational function in the unit ball of $H^\infty$ that is not a finite Blaschke product. Our results extend those of [2] by exploiting a close relationship between weighted composition operators on $\mathcal H(b)$ and their counterparts on the Hardy space $H^2$. |
| title | Weighted composition operators on de Branges-Rovnyak spaces |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2512.15287 |