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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.19335 |
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| _version_ | 1866908283773648896 |
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| author | Anh, Hoang Thieu Hai, Le Mau Dieu, Nguyen Quang Van Phu, Nguyen |
| author_facet | Anh, Hoang Thieu Hai, Le Mau Dieu, Nguyen Quang Van Phu, Nguyen |
| contents | In this paper, we study Hessian type equations for $(ø,m)-β$-subharmonic functions on a ball in $\mathbb{C}^n$, where $β=dd^c\|z\|^2=\frac{i}{2}\sum\limits_{j=1}^n dz_j\w d\bar{z}_j$ is the flat metric on $\cn$. Using the recent results in \cite{KN23b}, we are able to show the existence of bounded solutions for Hessian type equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded solution to Hessian type equations for $(ø,m)-β$-subharmonic functions on a ball in $\mathbb C^n$ Anh, Hoang Thieu Hai, Le Mau Dieu, Nguyen Quang Van Phu, Nguyen Complex Variables 2U05, 32Q15, 32W20 In this paper, we study Hessian type equations for $(ø,m)-β$-subharmonic functions on a ball in $\mathbb{C}^n$, where $β=dd^c\|z\|^2=\frac{i}{2}\sum\limits_{j=1}^n dz_j\w d\bar{z}_j$ is the flat metric on $\cn$. Using the recent results in \cite{KN23b}, we are able to show the existence of bounded solutions for Hessian type equations. |
| title | Bounded solution to Hessian type equations for $(ø,m)-β$-subharmonic functions on a ball in $\mathbb C^n$ |
| topic | Complex Variables 2U05, 32Q15, 32W20 |
| url | https://arxiv.org/abs/2503.19335 |