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

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.

arXiv comment24 pages, comments welcome