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

共 50 条

[1] Composition operators on variable exponent Lebesgue spaces
Bajaj, D. S.
Datt, G.
ANALYSIS MATHEMATICA, 2024, 50 (02) : 345 - 366
[2] Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
Kulak, Oznur
Gurkanli, A. Turan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[3] Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
Öznur Kulak
A Turan Gürkanlı
Journal of Inequalities and Applications, 2013
[4] On Compactness of Operators in Variable Exponent Lebesgue Spaces
Samko, Stefan
TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 497 - 508
[5] Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
Vakhtang Kokilashvili
Alexander Meskhi
Annals of Functional Analysis, 2021, 12
[6] Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
Kokilashvili, Vakhtang
Meskhi, Alexander
ANNALS OF FUNCTIONAL ANALYSIS, 2021, 12 (03)
[7] Ascent and descent of multiplication and composition induced operators on variable exponent lebesgue spaces
Datt, Gopal
Bajaj, Daljeet Singh
Fiorenza, Alberto
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2025, 74 (01)
[8] Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves
Rabinovich, V. S.
Samko, S. G.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2012, 46 (01) : 73 - 76
[9] Rough Hausdorff operators on Lebesgue spaces with variable exponent
Ziwei Li
Jiman Zhao
Annals of Functional Analysis, 2023, 14
[10] MAXIMAL AND CALDERON-ZYGMUND OPERATORS IN WEIGHTED GRAND VARIABLE EXPONENT LEBESGUE SPACES
Kokilashvili, V
Meskhi, A.
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2019, 173 (02) : 127 - 131

← 1 2 3 4 5 →