Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space

被引：6

作者：

Li, Songxiao ^{[1
]}

Qian, Ruishen ^{[2
]}

Zhou, Jizhen ^{[3
]}

机构：

[1] Jiaying Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China

[2] Lingnan Normal Univ, Sch Math & Computat Sci, 29 Cunjin Rd, Zhenjiang 524048, Guangdong, Peoples R China

[3] Anhui Univ Sci & Technol, Sch Sci, 70 Xueyuan S Rd, Huainan 232001, Anhui, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2017年 / 67卷 / 03期

关键词：

Bloch space; weighted Bergman space; Hardy space; essential norm; weighted composition operator; COMPACT COMPOSITION OPERATORS; DIFFERENTIATION;

D O I：

10.21136/CMJ.2017.0481-15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give some estimates for the essential norm and a new characterization for the boundedness and compactness of weighted composition operators from weighted Bergman spaces and Hardy spaces to the Bloch space.

引用

页码：629 / 643

页数：15

共 27 条

[1]

[Anonymous], PURE APPL MATH

[2]

[Anonymous], 1996, THESIS

[3]

[Anonymous], 2003, Analysis

[4] A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into μ-Bloch Spaces [J].

Castillo, Rene E. ;

Ramos-Fernandez, Julio C. ;

Rojas, Edixon M. .

JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,

[5] New criteria for boundedness and compactness of weighted composition operators mapping into the Bloch space [J].

Colonna, Flavia .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (01) :55-73

[6]

Cowen CC, 1995, STUDIES ADV MATH

[7] Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms [J].

Esmaeili, Kobra ;

Lindstrom, Mikael .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 75 (04) :473-490

[8] Estimates of essential norms of weighted composition operators between Bloch-type spaces [J].

Hyvarinen, Olli ;

Lindstrom, Mikael .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) :38-44

[9] The Essential Norm of Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions [J].

Hyvarinen, Olli ;

Kemppainen, Mika ;

Lindstrom, Mikael ;

Rautio, Antti ;

Saukko, Erno .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2012, 72 (02) :151-157

[10] Generalized composition operators on Zygmund spaces and Bloch type spaces [J].

Li, Songxiao ;

Stevic, Stevo .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) :1282-1295

← 1 2 3 →