Multipliers and Cyclic Vectors on the Weighted Bloch Space

Multipliers and Cyclic Vectors on the Weighted Bloch Space
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发表时间:
2006
期刊:
Mathematical journal of Okayama University
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通讯作者:
S. Ye
S. Ye
中科院分区:
其他
文献类型:
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作者:
S. Ye

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In this paper we study the pointwise multipliers and cyclic vectors on the weighted Bloch space βL = {f ∈ H(D) : supD(1 − |z| 2 ) ln( 2 1ijzj )|f 0 (z)| < +∞}. We obtain a characterization of multipliers on βL and little β 0 L. Also, a sufficient condition and a necessary condition are given for which f is a cyclic vector in β 0.