n-th Derivative Hardy Spaces and Weighted Differentiation Composition Operators

被引：0
|
作者：
Mostafa Hassanlou
Ebrahim Abbasi
Sepideh Nasresfahani
机构：
[1] Urmia University of Technology,Engineering Faculty of Khoy
[2] Islamic Azad University,Department of Mathematics, Mahabad Branch
[3] University of Isfahan,Department of Pure Mathematics, Faculty of Mathematics and statistics
来源：
Iranian Journal of Science | 2023年 / 47卷 / 4期
关键词：
Derivative Hardy spaces; Boundedness; Essential norm; Weighted differentiation composition operators; Primary 47B38; Secondary 47B33, 46E15;
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学科分类号：
摘要：
In this paper, we generalize the spaces of functions with derivative in a Hardy space to the n-th derivative Hardy spaces which consist of functions with n-th derivative in Hardy space. Then some characterizations are given for boundedness and essential norm of weighted differentiation composition operators from n-th derivative Hardy spaces into m-th weighted type spaces.
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页码：1351 / 1358
页数：7
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