Stein流形上的Lewy方程

LEWY EQUATION ON STEIN MANIFOLDS

本文利用Stein流形上强拟凸域的全纯支撑函数,并使用Hermite度量和陈联络定义的Koppelman-Leray核,结合边界的流形结构特点,得到了强拟凸域边界上(p,q)型Lewy方程(b-方程)解的一种整体积分表示.

Using holomorphic support function ofstrictly pseudoconvex domain on Stein manifolds and the Koppelman-Leray kernel defined by Hermitian metric and Chern connection, and furthermore setting up a close connection with the characteristic property of the boundary, the author obtains a global integral representation of the solution of (p, q)-form b-equation on the boundary of a strictly pseudoconvex domain.