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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.16774 |
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| _version_ | 1866913810999148544 |
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| author | Amal, Hichame Asserda, Saïd Barloub, Mohamed |
| author_facet | Amal, Hichame Asserda, Saïd Barloub, Mohamed |
| contents | In this paper, we introduce $m$-subharmonic functions in quaternionic space $\mathbb{H}^{n}$, we define the quaternionic Hessian operator and solve the homogeneous Dirichlet problem for the quaternionic Hessian equation on the unit ball with continuous boundary data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_16774 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Hessian equation in quaternionic space Amal, Hichame Asserda, Saïd Barloub, Mohamed Complex Variables 32U15, 35J60 In this paper, we introduce $m$-subharmonic functions in quaternionic space $\mathbb{H}^{n}$, we define the quaternionic Hessian operator and solve the homogeneous Dirichlet problem for the quaternionic Hessian equation on the unit ball with continuous boundary data. |
| title | The Hessian equation in quaternionic space |
| topic | Complex Variables 32U15, 35J60 |
| url | https://arxiv.org/abs/2310.16774 |