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广义加权Bloch空间到Q_K(p,q)空间的加权复合算子
Weighted Composition Operators from Generalized Weighted Bloch Spaces to Q_K(p,q )Spaces
【摘要】 利用算子理论和解析函数的性质,讨论了广义加权Bloch空间Blogα到QK(p,q)空间的加权复合算子uCφ的有界性和紧性,获得了充分必要条件,其中0<p<∞,q>-2,α>0,K:[0,∞)→[0,∞)是右连续单调不减的函数。
【Abstract】 In this paper,by using the theory of operators and properties of analytic functions,the boundedness and compactness of weighted composition operators uC_φ between generalized weighted Bloch space Bαlogand Q_K(p,q)were investigated,and obtained the sufficient and necessary conditions,where 0<p<∞,q>-2,α>0,K:[0,∞)→ [0,∞)is a right continuous and nondecreasing function.
【关键词】 Blogα空间;
Q_K(p,q)空间;
加权复合算子;
有界性;
紧性;
【Key words】 Blogα space; Q_K(p,q)space; weighted composition operators; boundedness; compactness;
【Key words】 Blogα space; Q_K(p,q)space; weighted composition operators; boundedness; compactness;
【基金】 国家自然科学基金资助项目(11571104)
- 【文献出处】 杭州电子科技大学学报(自然科学版) ,Journal of Hangzhou Dianzi University(Natural Sciences) , 编辑部邮箱 ,2019年02期
- 【分类号】O174
- 【被引频次】3
- 【下载频次】21