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| Paper IPM / M / 7402 |
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| Abstract: | |
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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=0∧f(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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