Generalized Cesaro Operators on Dirichlet-Type Spaces

被引：6
|
作者：
Jin, Jianjun [1 ]
Tang, Shuan [2 ]
机构：
[1] Hefei Univ Technol, Sch Math Sci, Xuancheng Campus, Hefei 242000, Peoples R China
[2] Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2021年 / 42卷 / 1期
基金：
中国国家自然科学基金;
关键词：
generalized Cesaro operator; Dirichlet-type spaces; Carleson measure; boundedness and compactness of operator;
D O I：
10.1007/s10473-022-0111-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we introduce and study a new kind of generalized Cesaro operator, C-mu, induced by a positive Borel measure mu on [0, 1) between Dirichlet-type spaces. We characterize the measures mu for which C-mu is bounded (compact) from one Dirichlet-type space, D-alpha, into another one, D-beta.
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页码：212 / 220
页数：9
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