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Weighted Composition Operators Between Hardy-Orlicz Spaces
HardyOrlicz空间之间的加权复合算

Keywords: Weighted composition operator,Hardy-Orlicz space,Carleson measure,Fredholm operator
加权复合算子
,Hardy—Orlicz空间,Carleson测度,Fredholm算子

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Abstract:

In this paper, some sufficient and necessary conditions for weighted composition operators between Hardy-Orlicz spaces to be bounded or compact are given respectively. As a corollary, the authors obtain that the boundedness or compactness for weighted composition operators between Hardy-Orlicz spaces is equivalent to corresponding ones on associated Hardy spaces. In addition, the authors also characterize the inducing maps which induce invertible or Fredholm composition operators on Np.

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