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

共 20 条

[11]

Embry-Wardrop M., 1991, J OPER THEORY, V25, P309

[12]

Karapetyants A., 2022, MATH METHOD APPL SCI, V45

[13] Boundedness and Compactness of Composition Operators on Variable Exponent Bergman Spaces [J].

Morovatpoor, A. ;

Abkar, A. .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (01)

[14]

Nakano Hidegoro, 1950, MODULARED SEMIORDERE

[15]

Orlicz W., 1931, STUD MATH, V3, P200, DOI DOI 10.4064/SM-3-1-200-211

[16]

PARTINGTON JR, 2004, LONDON MATH SOC STUD, V60

[17]

Royden H., 1988, Real analysis

[18]

Singh R K, 1993, COMPOSITION OPERATOR, P5

[19]

Takagi Hiroyuki, 1999, FUNCTION SPACES, V232

[20]

Zimmer Robert J, 1990, Chicago Lectures in Mathematics

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