Integrability of $(ω,m)$-subharmonic functions on compact Hermitian manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910892902318080 |
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| author | Fang, Yuetong |
| author_facet | Fang, Yuetong |
| contents | Let $(X,ω)$ be a compact Hermitian manifold of dimension $n$. We show that all $(ω,m)$-subharmonic functions are $L^p$ integrable on $X$, for any $p < \frac{n}{n-m}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19678 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integrability of $(ω,m)$-subharmonic functions on compact Hermitian manifolds Fang, Yuetong Complex Variables Let $(X,ω)$ be a compact Hermitian manifold of dimension $n$. We show that all $(ω,m)$-subharmonic functions are $L^p$ integrable on $X$, for any $p < \frac{n}{n-m}$. |
| title | Integrability of $(ω,m)$-subharmonic functions on compact Hermitian manifolds |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2503.19678 |