关键词: 加权复合算子；Hardy-Orlicz空间

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