HardyOrlicz空间之间的加权复合算

Abstract

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 N_p. 

Key words: Weighted composition operator, Hardy-Orlicz , space, Carleson measure; , Fredholm operator

CLC Number:

47B38

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WANG Mao-Fa, ZHOU Shao-Bei. Weighted Composition Operators Between Hardy-Orlicz Spaces[J].Acta mathematica scientia,Series A, 2005, 25(4): 509-515.

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Weighted Composition Operators Between Hardy-Orlicz Spaces

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