The Integral Representations and Their Applications on the Analytic Varieties of Bounded Domains in Stein Manifolds

Expand
  • School of Mathematical Sciences, Xiamen University
CHEN Shu-jin (1939-), male, native of Fuzhou, Fujian, professor (enjoying the special allowance of the State Council) of Xiamen University, engages in several complex variables.

Received date: 2021-06-21

  Online published: 2021-12-30

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.

Cite this article

CHEN Shu-jin . The Integral Representations and Their Applications on the Analytic Varieties of Bounded Domains in Stein Manifolds[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(4) : 331 -355 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.04.001

Outlines

/