Dirichlet-Morrey type spaces and Volterra integral operators

被引：1

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

页码：301 / 316

页数：16

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