Volterra-type operators on Zygmund spaces

被引：105

作者：

Li, Songxiao ^{[1
]}

Stevic, Stevo

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] Jia Ying Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China

[3] Serbian Acad Arts & Sci, Math Inst, Belgrade 11000, Serbia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2007年 / 2007卷 / 1期

关键词：

D O I：

10.1155/2007/32124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundedness and the compactness of the two integral operators J(g)f (z) = integral(z)(0)f (xi)g' (xi)d xi; I(g)f(z) = integral(z)(0)f' (xi)g(xi)d xi, where g is an analytic function on the open unit disk in the complex plane, on the Zygmund space are studied. Copyright (C) 2007 S. Li and S. Stevic.

引用

页数：10

共 19 条

[1] An integral operator on Hp and Hardy's inequality [J].

Aleman, A ;

Cima, JA .

JOURNAL D ANALYSE MATHEMATIQUE, 2001, 85 (1) :157-176

[2]

Aleman A, 1997, INDIANA U MATH J, V46, P337

[3]

Aleman A., 1995, Complex Variables Theory Appl., V28, P149, DOI DOI 10.1080/17476939508814844

[4] A note on weighted Bergman spaces and the Cesaro operator [J].

Benke, G ;

Chang, DC .

NAGOYA MATHEMATICAL JOURNAL, 2000, 159 :25-43

[5]

Chang DC, 2003, TAIWAN J MATH, V7, P293

[6]

Chang DC, 2003, OPER THEOR, V143, P147

[7]

Cowen C., 1995, COMPOSITION OPERATOR

[8]

Duren P. L., 1970, PURE APPL MATH, V38, DOI [10.1016/S0079-8169(08)62672-0, DOI 10.1016/S0079-8169(08)62672-0]

[9] Extended Cesaro operators on mixed norm spaces [J].

Hu, ZJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (07) :2171-2179

[10] Extended Cesaro operators on the Bloch space in the unit ball of Cn [J].

Hu, ZJ .

ACTA MATHEMATICA SCIENTIA, 2003, 23 (04) :561-566

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