BMO on Weighted Bergman Spaces over Tubular Domains
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929521858445312 |
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| author | Ding, Jiaqing Li, Haichou Fu, Zhiyuan Zhang, Yanhui |
| author_facet | Ding, Jiaqing Li, Haichou Fu, Zhiyuan Zhang, Yanhui |
| contents | In this paper, we characterize Bounded Mean Oscillation (BMO) and establish their connection with Hankel operators on weighted Bergman spaces over tubular domains. By utilizing the space BMO, we provide a new characterization of Bloch spaces on tubular domains. Next, we define a modified projection operator and prove its boundedness. Furthermore, we introduce differential operators and demonstrate that these operators belong to Lebesgue spaces on tubular domains. Finally, we establish an integral representation for Bergman functions using these differential operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20265 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | BMO on Weighted Bergman Spaces over Tubular Domains Ding, Jiaqing Li, Haichou Fu, Zhiyuan Zhang, Yanhui Complex Variables Functional Analysis In this paper, we characterize Bounded Mean Oscillation (BMO) and establish their connection with Hankel operators on weighted Bergman spaces over tubular domains. By utilizing the space BMO, we provide a new characterization of Bloch spaces on tubular domains. Next, we define a modified projection operator and prove its boundedness. Furthermore, we introduce differential operators and demonstrate that these operators belong to Lebesgue spaces on tubular domains. Finally, we establish an integral representation for Bergman functions using these differential operators. |
| title | BMO on Weighted Bergman Spaces over Tubular Domains |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2409.20265 |