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math.DG2024
Complex Alexandrov-Bakelman-Pucci estimate and its applications
Junbang Liu
We prove an Alexandrov-Bakelman-Pucci type estimate, which involves the integral of the determinant of the complex Hessian over a certain subset. It improves the classical ABP esti…
math.DG2024
On relative estimate for complex Monge-Ampère equations
Junbang Liu
We prove a relative estimate for a class of complex Monge-Ampère type equations on Kähler manifolds. It provides a unified approach to Tundinger type estimate and unif…