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Fredholm Composition Operators on Riemann Surfaces
作者姓名:Guang  Fu  CAO
作者单位:Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China
基金项目:Supported by National Natural Science Foundation of China.
摘    要:

关 键 词:Riemann表面  合成算子  Predholm算子  可逆性
收稿时间:2002-05-14
修稿时间:2002-05-142003-04-01

Fredholm Composition Operators on Riemann Surfaces
Guang Fu CAO.Fredholm Composition Operators on Riemann Surfaces[J].Acta Mathematica Sinica,2005,21(4):869-872.
Authors:Guang Fu Cao
Institution:(1) Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China
Abstract:It is proved that the invertibility of a composition operator on the differential form space for a Riemann surface is equivalent to its Fredholmness. In addition, the Fredholmness of weighted composition operators is discussed.
Keywords:Riemann surface  Composition operator  Fredholm operator
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