Composition operators on variable exponent Lebesgue spaces

被引：3

作者：

Bajaj, D. S. ^{[1
]}

Datt, G. ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ Delhi, PGDAV Coll, Dept Math, Delhi 110065, India

来源：

ANALYSIS MATHEMATICA | 2024年 / 50卷 / 02期

关键词：

composition operator; variable exponent Lebesgue space; compactness; closed range;

D O I：

10.1007/s10476-024-00015-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study composition operators between variable exponent Lebesgue spaces and characterize boundedness and compactness of the composition operators on a variable exponent Lebesgue space. We also derive a sufficient condition for composition operator to have a closed range and explain some properties which these operators share with the case of Lebesgue spaces.

引用

页码：345 / 366

页数：22

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