On an integral-type operator from Privalov spaces to Bloch-type spaces

被引：12

作者：

Zhu, Xiangling ^{[1
]}

机构：

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

来源：

ANNALES POLONICI MATHEMATICI | 2011年 / 101卷 / 02期

关键词：

integral-type operator; Privalov space; Bloch-type space; boundedness; compactness; GENERALIZED COMPOSITION OPERATORS; RIEMANN-STIELTJES OPERATORS; EXTENDED CESARO OPERATORS; UNIT BALL; PRODUCTS;

D O I：

10.4064/ap101-2-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H(B) denote the space of all holomorphic functions on the unit ball B of C-n. Let phi be a holomorphic self-map of B and g epsilon H(B) such that g(0) = 0. We study the integral-type operator C(phi)(g)f(z) = integral(1)(0)Rf(phi(tz))g(tz) dt/t, f epsilon H(B). The boundedness and compactness of C-phi(g) from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied.

引用

页码：139 / 147

页数：9

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