Abstract:

 In this paper, we first obtain a unified integral representation on the analytic varieties of the general bounded domain in Stein manifolds (the two types bounded domains in [3] are regarded as its special cases). Secondly we get the integral formulas of the solution of \overline \partial-equation. And we use a new and unique method to give a uniform estimate of the solution of \overline \partial-equation, which is different from Henkin’s method.

Key words: \overline \partial-equation, Uniform estimation, General bounded domain, Stein manifold, Analytic varieties, Integral representation