(?) - Equation Solution Expression In C ~ N Space

In this paper, the author did some researches about the representation of theproblem of the solution of （？）-equation under some condition and obtained someresults.1. Combining the extension Boncher-Martinelli formula in paper[1], the authorextended the locally homorphic solution about equation on smooth boundedpseudoconvex domain in paper[2], and obtained more general form of solution.Professor Lin Liangyui, combining with the famous Boncher-Martinelli formula,obtained the integral representation of the continuous differentiable function on thesmooth bounded boundary pseudoconvex domain and got a local holomorphic kernelsolution of （？）-equation on this domain in paper[2] in1995. Professor Yao Zong Yuangot the Boncher-Martinelli formula[1] extension in1986, which is reduced theRequirement of function on the boundary of the region. He also proved that thisexpansion is unique. This paper is the combination of both. The author extended theresults in paper[2] to the more general case and got the solution of （？）-equation.2. Combining the method of proof in paper[3] and the locally homorphic solutionabout （？）-equation on smooth pseudoconvex domain in paper[2], the author got a newlocal formula of solution about （？）-equation on smooth bounded pseudoconvexdomain.professor Yao Zong Yuan, professor Qiu Chunhuiand professor Zhong Chunpingfound a new skill of integral representation[3]. By using this skill, they improved theconclusion[4] and got the new integral representation formula and the solution of the（？）-equation on strongly pseudoconvex domain. This article is the combination thistechnique and paper[2], The author got a new formula of the local solution of the（？）-equation on the bounded pseudoconvex domain.