On an integral-type operator from the Bloch space to mixed norm spaces

被引：1

作者：

Li, Hao ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷

关键词：

Integral-type operator; Mixed norm space; Bloch space; Boundedness; Compactness; GENERALIZED COMPOSITION OPERATORS; WEIGHTED-TYPE SPACES; RIEMANN-STIELTJES OPERATORS; EXTENDED CESARO OPERATORS; UNIT BALL; H-INFINITY; ANALYTIC-FUNCTIONS; BERGMAN SPACES; HARDY-SPACES; DIFFERENTIATION;

D O I：

10.1016/j.amc.2015.10.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let cc be a holomorphic self-map of B and g is an element of H(B) such that g(0) = 0, where H(B) is the space of all holomorphic functions on the unit ball B of C-n. In this paper we investigate the following integral-type operator D-phi(g) f(Z) = integral(1)(0) D f(phi(tz))g(tz) dt/t, f subset of H(B), where Df is the fractional derivative of f is an element of H(B). The boundedness and compactness of the operators D-phi(g) between mixed norm spaces and Bloch spaces in the unit ball are studied. (C) 2015 Published by Elsevier Inc.

引用

页码：624 / 630

页数：7

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