Integrability of $(\omega ,m)$-subharmonic functions on compact Hermitian manifolds
Annales Polonici Mathematici
MSC: Primary 32W20; Secondary 32U05, 32Q15, 35A23
DOI: 10.4064/ap250407-17-9
Published online: 2 February 2026
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 $p \lt \frac{n}{n-m}$.
