Some new estimates for the complex Monge-Ampère equation

In this paper, we consider the complex Monge-Ampère equation posed on a compact Kahler manifold. We show how to get L^p(p < ∞) and L^∞ estimates for the gradient of the solution in terms of the continuity of the right-hand side.

In this paper, we consider the complex Monge-Ampère equation posed on a compact K?hler manifold. We show how to get L^p(p < ∞) and L∞estimates for the gradient of the solution in terms of the continuity of the right-hand side.