Essential norm and Schatten class difference of weighted composition operators over the ball
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866908468459339776 |
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| author | Hu, Xiaohe Yang, Zicong |
| author_facet | Hu, Xiaohe Yang, Zicong |
| contents | In this paper, we obtain the essential norm estimate for the difference of two weighted composition operators acting on standard weighted Bergman spaces over the unit ball. And we get some characterizations for the difference of weighted composition operators belonging to Schatten class, which has rarely been considered before. Our methods are fundamental, which involve Carleson measures and $R$-Berezin transform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19745 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Essential norm and Schatten class difference of weighted composition operators over the ball Hu, Xiaohe Yang, Zicong Functional Analysis Complex Variables 30H20, 47B33 In this paper, we obtain the essential norm estimate for the difference of two weighted composition operators acting on standard weighted Bergman spaces over the unit ball. And we get some characterizations for the difference of weighted composition operators belonging to Schatten class, which has rarely been considered before. Our methods are fundamental, which involve Carleson measures and $R$-Berezin transform. |
| title | Essential norm and Schatten class difference of weighted composition operators over the ball |
| topic | Functional Analysis Complex Variables 30H20, 47B33 |
| url | https://arxiv.org/abs/2507.19745 |