On an integral-type operator between H2 space and weighted Bergman spaces

被引：5

作者：

Zhu, Xiangling ^{[1
]}

机构：

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

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2011年 / 18卷 / 01期

关键词：

Riemann-Stieltjes operator; Bergman space; Hardy space; boundedness; compactness; GENERALIZED COMPOSITION OPERATORS; RIEMANN-STIELTJES OPERATORS; BLOCH-TYPE SPACE; EXTENDED CESARO OPERATORS; NORM; PRODUCTS;

D O I：

10.36045/bbms/1299766488

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 and Rh(z) = Sigma(n)(j=1)z(j)partial derivative h/partial derivative zj(z) the radial derivative of h. Motivated by recent results by S. Li and S. Stevic (see [8] and [9]), in this paper we study the boundedness and compactness of the following integral operator L(g)f(z) = integral(1)(0)Rf (tz)g(tz)dt/t, z is an element of B, between the Hardy space H-2 and weighted Bergman spaces.

引用

页码：63 / 71

页数：9

共 34 条

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