Product-type operators from Zygmund spaces to Bloch-Orlicz spaces

被引：15
作者：
Jiang, Zhi-Jie [1 ]
机构：
[1] Sichuan Univ Sci & Engn, Sch Sci, Zigong, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2017年 / 62卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Zygmund space; Bloch-Orlicz space; product-type operator; test function; boundedness; compactness; WEIGHTED COMPOSITION OPERATORS; INTEGRAL-TYPE OPERATORS; GENERALIZED COMPOSITION OPERATORS; AREA NEVANLINNA SPACES; MIXED NORM SPACE; BERGMAN SPACES; H-INFINITY; DIFFERENTIATION OPERATORS; MULTIPLICATION;
D O I：
10.1080/17476933.2016.1278436
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let D be the open unit disk in the complex plane C and H(D) the class of all analytic functions on D. Let phi be an analytic self-map of D and u is an element of H(D). In this paper, the boundedness and compactness for product-type operators from Zygmund spaces to Bloch-Orlicz spaces are characterized by constructing some new test functions in Zygmund spaces.
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页码：1645 / 1664
页数：20
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