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

[41] Generalized Volterra integral operators on weighted Fock spaces induced by A∞-type weights [J].

Xu, Chunxu .

GEORGIAN MATHEMATICAL JOURNAL, 2025,

[42] Weighted Composition Operators Between Spaces of Dirichlet Type [J].

Kumar, Sanjay .

REVISTA MATEMATICA COMPLUTENSE, 2009, 22 (02) :469-488

[43] VOLTERRA COMPOSITION OPERATORS FROM MIXED NORM SPACES TO BLOCH-TYPE SPACES [J].

Gu, Dinggui .

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (01) :92-99

[44] Iterated differentiation followed by composition from Bloch-type spaces to weighted BMOA spaces [J].

Stevic, Stevo ;

Sharma, Ajay K. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) :3574-3580

[45] Strict singularity of Volterra type operators on Hardy spaces [J].

Lin, Qingze ;

Liu, Junming ;

Wu, Yutian .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 492 (01)

[46] Fractional Volterra-type operators on Hardy spaces [J].

Fang, Xiang ;

Guo, Feng ;

Hou, Shengzhao ;

Zhu, Xiaolin .

STUDIA MATHEMATICA, 2025, 283 (01) :1-42

[47] Volterra integral operators from Dirichlet type spaces into Hardy spaces [J].

Conghui Shen ;

Songxiao Li .

Ricerche di Matematica, 2023, 72 :107-118

[48] Anisotropic variable Campanato-type spaces and their Carleson measure characterizations [J].

Huang, Long ;

Wang, Xiaofeng .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022, 25 (03) :1131-1165

[49] A NOTE ON THE CARLESON MEASURE FOR DIRICHLET TYPE SPACES ON THE UNIT BALL OF Cn [J].

Du, Juntao ;

Zhu, Xiangling .

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, 6 (01) :139-148

[50] Weighted differentiation composition operators from mixed-norm spaces to weighted-type spaces [J].

Stevic, Stevo .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) :222-233

← 1 2 3 4 5 →