A New Approach For Weighted Hardy's Operator In VELS

被引：8

作者：

Akin, Lutfi ^{[1
]}

Dusunceli, Faruk ^{[1
]}

机构：

[1] Mardin Artuklu Univ, Fac Econ & Adm Sci, Mardin, Turkey

来源：

APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2019年 / 4卷 / 02期

关键词：

Hardy inequality; Variable exponent; Boundedness;

D O I：

10.2478/AMNS.2019.2.00040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A considerable number of research has been carried out on the generalized Lebesgue spaces L-p(x) and boundedness of different integral operators therein. In this study, a new approach for weighted increasing near the origin and decreasing near infinity exponent function that provides a boundedness of the Hardy's operator in variable exponent space is given.

引用

页码：417 / 431

页数：15

共 31 条

[1] Regularity results for a class of functionals with non-standard growth [J].

Acerbi, E ;

Mingione, G .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2001, 156 (02) :121-140

[2]

[Anonymous], 2007, Fract. Calc. Appl. Anal.

[3]

[Anonymous], 2003, FRACT CALC APPL ANAL

[4]

[Anonymous], 2003, Fract. Calc. Appl. Anal.

[5]

[Anonymous], 2005, Georgian Math J

[6]

[Anonymous], 2005, GEORGIAN MATH J

[7] Weighted Hardy modular inequalities in variable Lp spaces for decreasing functions [J].

Boza, Santiago ;

Soria, Javier .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) :383-388

[8]

Chen L., 2007, HARDY TYPE INEQUALIT, P11

[9] On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces [J].

Cruz-Uribe, David ;

Mamedov, Farman I. .

REVISTA MATEMATICA COMPLUTENSE, 2012, 25 (02) :335-367

[10]

CruzUribe DV, 2013, APPL NUMER HARMON AN, DOI 10.1007/978-3-0348-0548-3

← 1 2 3 4 →