VOLTERRA INTEGRAL OPERATORS AND CARLESON EMBEDDING ON CAMPANATO SPACES

被引:6
|
作者
Liu, Xiaosong [1 ]
Li, Songxiao [2 ]
Qian, Ruishen [3 ]
机构
[1] Shantou Univ, Dept Math, Shantou 515063, Peoples R China
[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Peoples R China
[3] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Peoples R China
来源
基金
中国博士后科学基金;
关键词
Campanato space; Volterra integral operator; Embedding; Carleson measure; ANALYTIC CAMPANATO; RIEMANN-STIELTJES;
D O I
10.23952/jnva.5.2021.1.09
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let 1 <= p < q < infinity. The boundedness and compactness of the embedding from Campanato spaces L-p,L-lambda into tent spaces T-s(q)(mu) are investigated in this paper. Meanwhile, the boundedness and the essential norm of the Volterra operators T-g and I-g from L-p,L-lambda to F (q, q - 2 + q(1-lambda)/p, s) are also studied.
引用
收藏
页码:141 / 153
页数:13
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