Weighted composition operators on variable exponent Lebesgue spaces

被引：2

作者：

Datt, Gopal ^{[1
]}

Bajaj, Daljeet Singh ^{[2
]}

Fiorenza, Alberto ^{[3
,4
]}

机构：

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

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

[3] Univ Napoli Federico II, Via Monteoliveto 3, I-80134 Naples, Italy

[4] CNR, Ist Applicazioni Calcolo Mauro Picone, Via Pietro Castellino 111, I-80131 Naples, Italy

来源：

ADVANCES IN OPERATOR THEORY | 2024年 / 9卷 / 03期

关键词：

Weighted composition operators; Variable exponent Lebesgue spaces; Boundedness; Injectiveness; Compactness; Closed range;

D O I：

10.1007/s43036-024-00366-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we characterize the boundedness of weighted composition operators, induced by measurable transformations and complex-valued measurable functions, on variable exponent Lebesgue spaces. We also derive conditions for these operators to be compact or injective or have closed range. In addition, we investigate some relations between these operators and multiplication operators.

引用

页数：23

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