FREDHOLM WEIGHTED COMPOSITION OPERATORS

被引：2

作者：

Lo, Ching-On ^{[1
]}

Loh, Anthony Wai-Keung ^{[1
]}

机构：

[1] Hong Kong Polytech Univ, Hong Kong Community Coll, Div Sci & Technol, Hong Kong, Peoples R China

来源：

OPERATORS AND MATRICES | 2019年 / 13卷 / 01期

关键词：

Weighted composition operators; Lebesgue spaces; Hardy spaces; Fredholm operators;

D O I：

10.7153/oam-2019-13-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that Fredholm weighted composition operators on L-p-spaces with nonatomic measures are precisely the invertible ones. We also characterize the classes of Fredholm and invertible weighted composition operators on l(p). Furthermore, the closedness of ranges and Fredholmness of these operators on H-p-spaces of the unit disk are investigated.

引用

页码：169 / 186

页数：18

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