Uniform Estimates of Solutions of -Equation on Stein Manifolds

By means of the Hermitian metric and Chern connection, Qiu [4] obtained the Koppelman–Leray–Norguet formula for (p, q) differential forms on an open set with C1 piecewise smooth boundary on a Stein manifold, and under suitable conditions gave the solutions of -equation on a Stein manifold. In this article, using the method of Range and Siu [5], under suitable conditions, the authors complicatedly calculate to give the uniform estimates of solutions of -equation for (p, q) differential forms on a Stein manifold.