THE EXISTENCE OF BOUNDED SOLUTIONS TO THE COMPLEX MONGE-AMPÈRE TYPE EQUATIONS ON HERMITIAN MANIFOLDS WITH BOUNDARY

Abstract

In the paper, we will study and discuss about the existence of bounded solution to the complex Monge-Ampère type equation on Hermitian manifold with nonempty boundary, where is an unknown function, is a nonnegative Radon measure on and is a -measurable function.