Boundedness of Forelli-Rudin Type Operators on Tubular Domains over The Generalized Light Cones
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_ | 1866912713380200448 |
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| author | Xia, Xin Deng, GuanTie |
| author_facet | Xia, Xin Deng, GuanTie |
| contents | This study investigates conditions for the boundedness of Forelli-Rudin type operators on weighted Lebesgue spaces associated with tubular domains over the generalized light cone. We establish a complete characterization of the boundedness for two classes of Forelli-Rudin type operators from $L_{\boldsymbolα}^{p}$ to $L_{\boldsymbolβ}^{q}$, in the range $1 < p \leq q < \infty$. The findings contribute significantly to the analysis of Bergman projection operators in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundedness of Forelli-Rudin Type Operators on Tubular Domains over The Generalized Light Cones Xia, Xin Deng, GuanTie Functional Analysis Operator Algebras This study investigates conditions for the boundedness of Forelli-Rudin type operators on weighted Lebesgue spaces associated with tubular domains over the generalized light cone. We establish a complete characterization of the boundedness for two classes of Forelli-Rudin type operators from $L_{\boldsymbolα}^{p}$ to $L_{\boldsymbolβ}^{q}$, in the range $1 < p \leq q < \infty$. The findings contribute significantly to the analysis of Bergman projection operators in this setting. |
| title | Boundedness of Forelli-Rudin Type Operators on Tubular Domains over The Generalized Light Cones |
| topic | Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2511.12967 |