This talk concerns Hermtian Yang-Mills metrics on a class of rank 2 holomorphic vector
bundles over the product X of two copies of the complex one torus T and B. The vector
bundles are stables with respect to a family of Kahler metrics on X which are flat and
have areas and on T and B. respectvely. We will study the asymptotic behavior of the
resulting Hermitian Yang-Mills metrics by constructing a family of Hermitian metrics
and doing the -estimats to the difference between and the identity matrix. In this talk
we will focus on the -estimate.