Ye, Shanli Cyclic vectors in the BMOA space. (Chinese. English summary) Zbl 0955.30028 Acta Math. Sci. (Chin. Ed.) 17, No. 3, 356-360 (1997). Summary: In this paper we try to identify the function whose polynomial multiples are weak* dense in the BMOA space. We obtain that if \(|f(z)|\geq|g(z)|\) at all points and if \(g\) is cyclic, then \(f\) is cyclic, Theorem 2 gives a sufficient and necessary condition for a function to be cyclic is that \(f\) is an outer function. Cited in 1 ReviewCited in 3 Documents MSC: 30D45 Normal functions of one complex variable, normal families Keywords:cyclic vectors; outer function; BMOA PDFBibTeX XMLCite \textit{S. Ye}, Acta Math. Sci. (Chin. Ed.) 17, No. 3, 356--360 (1997; Zbl 0955.30028)