Subextension and approximation of $m$-subharmonic functions with given boundary values
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866918250824073216 |
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| author | Amal, Hichame Gasmi, Ayoub El |
| author_facet | Amal, Hichame Gasmi, Ayoub El |
| contents | In this paper we establish a result on subextension of $m$-subharmonic functions in the class $\mathcal{F}_m(Ω,f)$ without changing the hessian measures. As application, we approximate a $m$-subharmonic function with given boudary value by an increasing sequence of $m$-subharmonic functions defined on larger domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10396 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Subextension and approximation of $m$-subharmonic functions with given boundary values Amal, Hichame Gasmi, Ayoub El Complex Variables In this paper we establish a result on subextension of $m$-subharmonic functions in the class $\mathcal{F}_m(Ω,f)$ without changing the hessian measures. As application, we approximate a $m$-subharmonic function with given boudary value by an increasing sequence of $m$-subharmonic functions defined on larger domains. |
| title | Subextension and approximation of $m$-subharmonic functions with given boundary values |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2311.10396 |