【摘要】 单位圆盘上的加权Lipschitz空间中复合算子的有界性与紧性问题已有文献探究,并给出了复合算子的有界与紧性的充要条件;但一直未见文献讨论Cn中加权解析Lipschitz空间上复合算子的有界性问题,刻画了Cn中加权解析Lipschitz空间的特性,并利用空间中诱导距离的性质给出了复合算子Cφ在加权解析Lipschitz空间上为有界算子的充要条件.更多还原

【Abstract】 On the unit disc,the boundedness and compactness of the composition operator in the weighted Lipschitz spaces have been investigated,besides the necessary and sufficient conditions of the composition operator Cφare obtained.However,there is no discussion about the boundedness of the composition operator on weighted analytic Lipschitz spaces in Cn.by describing the properties of weighted analytic Lipschitz space in Cn,and combine with the properties of the induced distances in Lipschitz space,the necessary and sufficient conditions of the composition operator Cφin weighted analytic Lipschitz space are obtained.更多还原