Abstract
Let $\{\beta(n)\}$ be a sequence of positive numbers with $\beta(0) = 1$ and let $p\gt 0$. By the space $H^{p}(\beta)$, we mean the set of all formal power series $\sum^{\infty}_{n=0} \hat{f}(n) z^{n}$ for which $\sum^{\infty}_{n=0} |\hat{f}(n)|^{p} \beta(n)^{p} \lt \infty$. In this paper, we study cyclic vectors for the forward shift operator and supercyclic vectors for the backward shift operator on the space $H^{p} (\beta)$.
Citation
K. Hedayatian. "ON CYCLICITY IN THE SPACE $H^{p}(\beta)$." Taiwanese J. Math. 8 (3) 429 - 442, 2004. https://doi.org/10.11650/twjm/1500407663
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