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OALib Journal期刊
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LEWY EQUATION ON STEIN MANIFOLDS
Stein流形上的Lewy方程

Keywords: Stein manifolds,strictly pseudoconvex domain,Koppelman-Leray kernel,Lewy equation,b-equation
Stein流形
,强拟凸域,Koppelman-Leray核,Lewy方程,■_b-方程

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Abstract:

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.

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