COMPACTNESS OF LINEAR INTEGRAL OPERATORS IN IDEAL SPACES OF VECTOR FUNCTIONS

被引：0

作者：

Vaeth, Martin ^{[1
]}

机构：

[1] Univ Wurzburg, Math Inst, D-97074 Wurzburg, Germany

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2012年 / 24卷 / 03期

关键词：

Integral operator; kernel operator; Urysohn operator; measure of noncompactness; non-measurable kernel; Caratheodory function; ideal space; Banach function space; spaces of measurable functions;

D O I：

10.1216/JIE-2012-24-3-393

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Estimates for the measure of noncompactness of linear integral operators of vector functions in ideal spaces are obtained. When the kernel function is compact, no additional uniformity or measurability hypotheses are needed; however, noncompact nonmeasurable kernel functions are also treated.

引用

页码：393 / 411

页数：19

共 50 条

[1] LINEAR INTEGRAL-OPERATORS IN THE IDEAL SPACES OF VECTOR-FUNCTIONS
ZABREIKO, PP
THAI, NH
DOKLADY AKADEMII NAUK BELARUSI, 1988, 32 (07): : 587 - 590
[2] Compactness of Commutators of Integral Operators with Functions in Campanato Spaces on Orlicz-Morrey Spaces
Yamaguchi, Satoshi
Nakai, Eiichi
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2022, 28 (02)
[3] Compactness of Multiplication Operators on Spaces of Integrable Functions with Respect to a Vector Measure
del Campo, Ricardo
Fernandez, Antonio
Ferrando, Irene
Mayoral, Fernando
Naranjo, Francisco
VECTOR MEASURES, INTEGRATION AND RELATED TOPICS, 2010, 201 : 109 - +
[4] Compactness of Commutators of Integral Operators with Functions in Campanato Spaces on Orlicz-Morrey Spaces
Satoshi Yamaguchi
Eiichi Nakai
Journal of Fourier Analysis and Applications, 2022, 28
[5] V-INTEGRAL REPRESENTATION FOR LINEAR OPERATORS ON SPACES OF CONTINUOUS FUNCTIONS WITH VALUES IN TOPOLOGICAL VECTOR SPACES
EDWARDS, JR
WAYMENT, SG
PACIFIC JOURNAL OF MATHEMATICS, 1970, 35 (02) : 327 - &
[6] A V-INTEGRAL REPRESENTATION FOR LINEAR OPERATORS ON SPACES OF CONTINUOUS FUNCTIONS WITH VALUES IN TOPOLOGICAL VECTOR SPACES
EDWARDS, JR
WAYMENT, SG
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (04): : 653 - &
[7] COMPACTNESS OF INTEGRAL-OPERATORS ON WEIGHTED SPACES
ZHAROV, PA
DIFFERENTIAL EQUATIONS, 1991, 27 (10) : 1235 - 1242
[8] COMPACTNESS OF INTEGRAL OPERATORS IN BANACH FUNCTION SPACES
LUXEMBURG, WAJ
ZAANEN, AC
MATHEMATISCHE ANNALEN, 1963, 149 (02) : 150 - 180
[9] WEAK COMPACTNESS IN SPACES OF COMPACT-OPERATORS AND OF VECTOR-VALUED FUNCTIONS
COLLINS, HS
RUESS, W
PACIFIC JOURNAL OF MATHEMATICS, 1983, 106 (01) : 45 - 71
[10] Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators
Garcia-Raffi, L. M.
Sanchez-Perez, E. A.
APPLIED GENERAL TOPOLOGY, 2005, 6 (02): : 135 - 142

← 1 2 3 4 5 →