Integral type operators from mixed-norm spaces to α-Bloch spaces

被引：80

作者：

Li, Songxiao

Stevic, Stevo

机构：

[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia

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

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

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 07期

基金：

中国国家自然科学基金;

关键词：

integral operator; mixed-norm space; alpha-Bloch space;

D O I：

10.1080/10652460701320703

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let g : B -> C(1) be a holomorphic map of the unit ball B. We study the following integral operators T(g)f( z) = integral (1) (0) f(tz)kg( tz) dt/ t and L(g)f(z) = integral (1) (0) k f(tz)g(tz) dt/t, z is an element of B. The boundedness and compactness of operators T(g) and L(g) from mixed- norm spaces to the alpha- Bloch space B(alpha) and the little alpha- Bloch space on the unit ball are discussed in this article.

引用

页码：485 / 493

页数：9

共 13 条

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[Anonymous], STUDIES ADV MATH

[2]

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