Weighted Hardy-Littlewood-Sobolev-type inequality for ψ-Riemann-Liouville fractional integrals

被引：2

作者：

Ledesma, Cesar E. Torres ^{[1
]}

Sousa, J. Vanterler da C. ^{[2
]}

Cruz, Amado M. ^{[3
]}

机构：

[1] Univ Nacl Trujillo, Fac Ciencias Fis & Matemat, Inst Invest Matemat, Trujillo, Peru

[2] Univ Fed ABC UFABC, Ctr Matemat Computacao & Cognicao, Santo Andre, SP, Brazil

[3] Univ Nacl Trujillo, Dept Matemat, Trujillo, Peru

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2023年 / 67卷 / 01期

关键词：

STEIN-WEISS INEQUALITIES; NORM INEQUALITIES; SHARP CONSTANTS; EXISTENCE;

D O I：

10.1215/00192082-10346668

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new extension for Hardy-Littlewood-type inequalities using the Riemann-Liouville fractional integral with respect to another function in the weighted Lebesgue space L-psi(p)[a,b]. These estimates are very important in the study of fractional differential equations with variational form and in the construction of fractional spaces of Sobolev type.

引用

页码：13 / 32

页数：20

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