Carleson measure and Volterra type operators on weighted BMOA spaces

被引:5
|
作者
Qian, Ruishen [3 ]
Li, Songxiao [1 ,2 ]
机构
[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Sichuan, Peoples R China
[2] Macau Univ Sci & Technol, Inst Syst Engn, Ave Wai Long, Taipa, Macao, Peoples R China
[3] Lingnan Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Guangdong, Peoples R China
关键词
Weighted BMOA space; Volterra type operator; Carleson measure; RIEMANN-STIELTJES OPERATORS; EXTENDED CESARO OPERATORS; INTEGRAL-TYPE OPERATORS; MIXED-NORM SPACE; ANALYTIC-FUNCTIONS; HARDY-SPACES; BLOCH SPACE; MULTIPLIERS; PRODUCTS;
D O I
10.1515/gmj-2018-0040
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let mu be a nonnegative Borel measure on the unit disk D. In this paper, we investigate measures mu such that the weighted BMOA spaces are embedded boundedly or compactly into tent-type spaces T-phi(infinity)(mu). As an application, we characterize the boundedness and compactness of Volterra integral operators on the weighted BMOA space.
引用
收藏
页码:413 / 424
页数:12
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