Hardy's inequalities, Hilbert inequalities and fractional integrals on function spaces of q-integral p-variation

被引：2

作者：

Ho, Kwox-PUN ^{[1
]}

机构：

[1] Educ Univ Hong Kong, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2021年 / 126卷 / 03期

关键词：

Hardy's inequalities; Hilbert inequalities; Riemann-Liouville integrals; Weyl integrals; Erdelyi-Kober fractional integrals; q-integral p-variation; WEIGHTED NORM INEQUALITIES; HAUSDORFF OPERATORS;

D O I：

10.4064/ap200224-11-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain Hardy's inequalities and the Hilbert inequalities for function spaces of q-integral p-variation. We also establish the mapping properties of Riemann-Liouville integrals, Weyl integrals and Erdelyi-Kober fractional integrals on these function spaces.

引用

页码：251 / 263

页数：13

共 32 条

[1] WEIGHTED NORM INEQUALITIES FOR THE RIEMANN-LIOUVILLE AND WEYL FRACTIONAL INTEGRAL-OPERATORS [J].

ANDERSEN, KF ;

SAWYER, ET .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (02) :547-558

[2]

Borucka-Cieslewicz, 1980, FUNCTIONES APPROXIMA, V10, P111

[3]

Borucka-Cieslewicz A., 1976, Funct. Approx. Comment. Math., V3, P23

[4] On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation [J].

Bugajewski, Dariusz ;

Gulgowski, Jacek ;

Kasprzak, Piotr .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2016, 195 (05) :1513-1530

[5] On integral operators and nonlinear integral equations in the spaces of functions of bounded variation [J].

Bugajewski, Dariusz ;

Gulgowski, Jacek ;

Kasprzak, Piotr .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 444 (01) :230-250

[6]

Diestel J., 1977, VECTOR MEASURES

[7]

Erdelyi A., 1940, Q JMATH OXFORD, V11, P293

[8]

Folland GB., 1984, Pure and Applied Mathematics

[9] On integral bounded variation [J].

Gulgowski, Jacek .

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) :399-422

[10]

Ho, REND SEM MAT U PADOV

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