The role of BMOA in the boundedness of weighted composition operators
The role of BMOA in the boundedness of weighted composition operators
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DOI：
10.1016/j.jfa.2010.02.019
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发表时间：
2010-06
影响因子：
1.7
通讯作者：
E. Gallardo-Gutiérrez;J. Partington
中科院分区：
文献类型：
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作者：
E. Gallardo-Gutiérrez;J. Partington
Boundedness (resp. compactness) of weighted composition operators Wh,φacting on the classical Hardy space H2as Wh,φf=h(f○φ) are characterized in terms of a Nevanlinna counting function associated to the symbols h and φ whenever h∈BMOA (resp. h∈VMOA). Analogous results are given for Hpspaces and the scale of weighted Bergman spaces. In the latter case, BMOA is replaced by the Bloch space (resp. VMOA by the little Bloch space).
