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Paper   IPM / M / 7402
School of Mathematics
  Title:   On cyclicity in the space Hp(β)
  Author(s):  K. Hedayatian
  Status:   Published
  Journal: Taiwanese J. Math.
  Vol.:  8
  Year:  2004
  Pages:   429-442
  Supported by:  IPM
Let {β(n)} be a sequence of positive numbers with β(0)=1 and let p > 0. By the space Hp(β), we mean the set of all formal power series ∑n=0f(n)zn for which ∑n=0|f(n)|pβ(n)p < ∞. In this paper, we study cyclic vectors for the forward shift operator and supercyclic vectors for the backward shift operator on the space Hp(β).

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