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arXiv · 2503.19678

Integrability of $(\omega,m)$-subharmonic functions on compact Hermitian manifolds

Yuetong Fang
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Abstract

Let $(X,\omega)$ be a compact Hermitian manifold of dimension $n$. We show that all $(\omega,m)$-subharmonic functions are $L^p$ integrable on $X$, for any $p < \frac{n}{n-m}$.

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Yuetong Fang. 2025-03-25. Integrability of $(\omega,m)$-subharmonic functions on compact Hermitian manifolds. https://arxiv.org/abs/2503.19678

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