Carleson measure and Volterra type operators on weighted BMOA spaces

被引：5

作者：

Qian, Ruishen ^{[3
]}

Li, Songxiao ^{[1
,2
]}

机构：

[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Sichuan, Peoples R China

[2] Macau Univ Sci & Technol, Inst Syst Engn, Ave Wai Long, Taipa, Macao, Peoples R China

[3] Lingnan Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Guangdong, Peoples R China

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 03期

关键词：

Weighted BMOA space; Volterra type operator; Carleson measure; RIEMANN-STIELTJES OPERATORS; EXTENDED CESARO OPERATORS; INTEGRAL-TYPE OPERATORS; MIXED-NORM SPACE; ANALYTIC-FUNCTIONS; HARDY-SPACES; BLOCH SPACE; MULTIPLIERS; PRODUCTS;

D O I：

10.1515/gmj-2018-0040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let mu be a nonnegative Borel measure on the unit disk D. In this paper, we investigate measures mu such that the weighted BMOA spaces are embedded boundedly or compactly into tent-type spaces T-phi(infinity)(mu). As an application, we characterize the boundedness and compactness of Volterra integral operators on the weighted BMOA space.

引用

页码：413 / 424

页数：12

共 50 条

[1] INTEGRAL OPERATORS FROM MORREY TYPE SPACES TO WEIGHTED BMOA SPACES
Qian, Ruishen
Zhu, Xiangling
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 58 (04) : 815 - 828
[2] Volterra Type Operators on Weighted Dirichlet Spaces
Qingze LIN
Chinese Annals of Mathematics,Series B, 2021, (04) : 601 - 612
[3] Volterra Type Operators on Weighted Dirichlet Spaces
Lin, Qingze
CHINESE ANNALS OF MATHEMATICS SERIES B, 2021, 42 (04) : 601 - 612
[4] Volterra Type Operators on Weighted Dirichlet Spaces
Qingze Lin
Chinese Annals of Mathematics, Series B, 2021, 42 : 601 - 612
[5] Hardy and Carleson Measure Spaces Associated with Operators on Spaces of Homogeneous Type
Yanchang Han
Yongsheng Han
Ji Li
Chaoqiang Tan
Potential Analysis, 2018, 49 : 247 - 265
[6] Hardy and Carleson Measure Spaces Associated with Operators on Spaces of Homogeneous Type
Han, Yanchang
Han, Yongsheng
Li, Ji
Tan, Chaoqiang
POTENTIAL ANALYSIS, 2018, 49 (02) : 247 - 265
[7] GENERALIZED INTEGRATION OPERATORS FROM BLOCH TYPE SPACES TO WEIGHTED BMOA SPACES
Sharma, S. D.
Sharmat, Anshu
DEMONSTRATIO MATHEMATICA, 2011, 44 (02) : 373 - 390
[8] Volterra Type and Weighted Composition Operators on Weighted Fock Spaces
Mengestie, Tesfa
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 76 (01) : 81 - 94
[9] Volterra Type and Weighted Composition Operators on Weighted Fock Spaces
Tesfa Mengestie
Integral Equations and Operator Theory, 2013, 76 : 81 - 94
[10] A Characterization of Weighted Carleson Measure Spaces
Liu, Hsun-Wu
Wang, Kunchuan
TAIWANESE JOURNAL OF MATHEMATICS, 2019, 23 (01): : 103 - 127

← 1 2 3 4 5 →