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中文摘要：
该文讨论了单位圆盘上不同Bers型空间之间的加权复合算子的有界性、紧性和弱紧性,给出了一些充分必要的判别条件,特别地得到不同Bers型空间上加权复合算子的紧性与弱紧性的等价性.这些推广了经典的复合算子与乘法算子的相关结论.该文同时也给出了Bers型空间上复合算子的Fredholm性和闭值域问题的刻画,完善了文献[6]中结论.
英文摘要：
In this paper, the authors study weighted composition operators between Bers-type spaces. Some sufficient and necessary conditions for such operators to be bounded, compact and weakly compact are given, respectively. This may be regarded as a generalization of the corresponding multiplication operator and composition operator cases. As a corollary, the authors obtain that the weak compactness and the compactness of weighted composition operators between Bers-type spaces are equivalent. In addition, the authors also characterize composition operators which have Fredholm properties and closed range on Bers-type spaces, respectively.
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Modulus hyperinvariant subspaces for quasinilpotent operators at a non-zero positive vector on l(p)-
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