Yuetong Fang

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math.CV2026

Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds

Yuetong Fang

We establish an a priori $C^{2}$ -estimate for complex Hessian equations on compact Hermitian manifolds. As an application, we obtain a regularity result for solutions to complex Hess…

math.CV2025

Continuity of solutions to complex Hessian equations on compact Hermitian manifolds

Yuetong Fang

Let $(X, ω)$ be a compact Hermitian manifold of dimension $n$ . We derive an $L^{\infty}$ -estimate for bounded solutions to the complex $m$ -th Hessian equations on $X$ , assuming a posi…

math.CV2025

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

Yuetong Fang

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 $p < \frac{n}{n - m}$ .

Smoothness of bounded solutions to complex Hessian equations on compact Hermitian manifolds

Continuity of solutions to complex Hessian equations on compact Hermitian manifolds

Integrability of (ω,m)-subharmonic functions on compact Hermitian manifolds

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