Dirichlet-Morrey type spaces and Volterra integral operators

被引：2
作者：
Zhu, Xiangling [1 ]
Hu, Lian [2 ]
Qu, Dan [3 ]
机构：
[1] Univ Elect Sci & Technol China, Zhongshan Inst, Zhongshan, Peoples R China
[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Peoples R China
[3] Macau Univ Sci & Technol, Fac Informat Technol, Taipa, Macao, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 02期
关键词：
Dirichlet-Morrey type space; Carleson measure; Volterra integral operator; CARLESON MEASURES; MULTIPLIERS; FAMILY;
D O I：
10.1080/17476933.2022.2130278
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let 0 < p < infinity and K : [0, infinity) -> [0, infinity) be a nondecreasing and right-continuous function. A new Dirichlet-Morrey type space D-p-1(p,K) is introduced in this paper. The boundedness of the identity operator Id from D-p-1(p,K) to tent spaces T-K(p) (mu) is characterized. As an application, the boundedness, compactness and essential norm of Volterra integral operators on D-p-1(p,K) are investigated.
引用
收藏
页码：301 / 316
页数：16
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