A Priori Estimates for Complex Monge-Ampere Equation on Hermitian Manifolds

作者：Zhang Xiangwen^*

来源：International Mathematics Research Notices, 2010, (19): 3814-3836.

DOI：10.1093/imrn/rnq029

We study the regularity of complex Monge-Ampere equation on Hermitian manifolds. Our main results give the C(1) and C(2) estimates for the solution of Equation (1.1). Moreover, we also give the gradient estimate for the geometric solution of complex Hessian Equations (1.4) and (1.6) when the background manifold is Hermitian.

• 出版日期2010