The (partial derivative)over-bar-Neumann problem and boundary integral equations

In this paper, we find an equivalent boundary integral equation to the classical (partial derivative) over bar -Neumann problem. The new equation contains an equivalent regularity to the global regularity of the (partial derivative) over bar -Neumann problem. We also use the integral equations to observe a new-found rigidity property of the (partial derivative) over bar -Neumann problem on the unit ball in C-2.