Embedding of Dirichlet type spaces Dp-1p into tent spaces and Volterra operators

被引：6

作者：

Qian, Ruishen ^{[1
]}

Zhu, Xiangling ^{[2
]}

机构：

[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China

[2] Univ Elect Sci & Technol China, Zhongshan Inst, Zhongshan 528402, Guangdong, Peoples R China

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2021年 / 64卷 / 03期

关键词：

Dirichlet type space; Volterra integral operator; Carleson measure; tent space; essential norm; CARLESON MEASURES; INTEGRATION OPERATORS; MULTIPLIERS;

D O I：

10.4153/S0008439520000764

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the boundedness and compactness of the inclusion mapping from Dirichlet type spaces D-p-1(p) to tent spaces. Meanwhile, the boundedness, compactness, and essential norm of Volterra integral operators from Dirichlet type spaces D-p-1(p) to general function spaces are also investigated.

引用

页码：697 / 708

页数：12

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