Second order estimates for equations with sums of Hessian operators on Hermitian manifolds

Weisong Dong; Ruijia Zhang

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arXiv · 2603.19045

Second order estimates for equations with sums of Hessian operators on Hermitian manifolds

Weisong Dong·Ruijia Zhang

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Abstract

In this paper, we establish an a priori second-order estimate for admissible solutions satisfying a dynamic plurisubharmonic condition to equations involving sums of Hessian operators on compact Hermitian manifolds. The estimate is derived using a concavity inequality for complex sum-of-Hessian operators.

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Weisong Dong, Ruijia Zhang. 2026-03-19. Second order estimates for equations with sums of Hessian operators on Hermitian manifolds. https://arxiv.org/abs/2603.19045

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