Dirichlet Spaces In Balls And Half-spaces of $\R^n$
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910864806772736 |
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| author | Yang, Yan Qian, Tao |
| author_facet | Yang, Yan Qian, Tao |
| contents | The present paper studies the Dirichlet spaces in balls and upper-half Euclidean spaces. As main results, we give identical characterizations of the Dirichlet norms in the respective contexts as for the classical 2-D disc case proved by Douglas and Ahlfors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06896 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dirichlet Spaces In Balls And Half-spaces of $\R^n$ Yang, Yan Qian, Tao Functional Analysis 30G30, 30G35, 31B25 The present paper studies the Dirichlet spaces in balls and upper-half Euclidean spaces. As main results, we give identical characterizations of the Dirichlet norms in the respective contexts as for the classical 2-D disc case proved by Douglas and Ahlfors. |
| title | Dirichlet Spaces In Balls And Half-spaces of $\R^n$ |
| topic | Functional Analysis 30G30, 30G35, 31B25 |
| url | https://arxiv.org/abs/2502.06896 |