Essential Norm of Weighted Composition Operators From H∞to nth Weighted Type Spaces

被引：0

作者：

Abbasi, Ebrahim ^{[1
]}

Vaezi, Hamid ^{[2
]}

Li, Songxiao ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Mahabad Branch, Mahabad, Iran

[2] Univ Tabriz, Dept Pure Math, Fac Math Sci, Tabriz, Iran

[3] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Sichuan, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 05期

关键词：

Essential norm; nth weighted type space; weighted composition operator;

D O I：

10.1007/s00009-019-1409-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the boundedness of the weighted composition operator uC. from H 8 to nth weighted type spaces was characterized. Also some estimates for the essential norm of this operator were given. By applying these estimates for the essential norm, some necessary and sufficient conditions for the compactness of this operator were obtained.

引用

页数：14

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