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(-*)b-方程的Cs+ap,q-形式解及其Lsp,q估计
引用本文:马忠泰. (-*)b-方程的Cs+ap,q-形式解及其Lsp,q估计[J]. 数学季刊, 2003, 18(3)
作者姓名:马忠泰
作者单位:Department of Mathematics, China Coal Economic College, Yantai 264005, China 
摘    要:



Cs+αp,q-forms Solution of (-*)b-equation and Its Lsp,q Estimates
MA Zhong-tai. Cs+αp,q-forms Solution of (-*)b-equation and Its Lsp,q Estimates[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(3)
Authors:MA Zhong-tai
Abstract:
In this paper, by using holomorphic support function of strictly pseudoconvex domain on Stein manifolds and the kernel defined by DEMAILY J P and Laurent Thiebaut, we construct two integral operators Tq and Sq which are both belong to Cs+αp,q-1((**)D) and obtain integral representation of the solution of (p,q)-form (**)b-equation on the boundary of pseudoconvex domain in Stein manifolds and the Lsp,q extimates for the solution.
Keywords:inhomogeneous tangential Cauchy-Riemann equations  integral representation of (-*)b-solving  the kernel of Demaily mand Laurent Thiebaut  Chern connection  Stein manifold  Lsp,q estimates
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