Optimal couples of rearrangement invariant spaces for the Riesz potential on the bounded domain

被引：1

作者：

Kang, Shin Min ^{[1
,2
]}

Rafiq, Arif ^{[3
]}

Nazir, Waqas ^{[3
]}

Ahmad, Irshaad ^{[4
]}

Ali, Faisal ^{[5
]}

Kwun, Young Chel ^{[6
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[3] Lahore Leads Univ, Dept Math, Lahore 54810, Pakistan

[4] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[5] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math, Multan 54000, Pakistan

[6] Dong A Univ, Dept Math, Pusan 614714, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

Riesz potential operator; rearrangement invariant function spaces; real interpolation;

D O I：

10.1186/1029-242X-2014-60

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove continuity of the Riesz potential operator in optimal couples of rearrangement invariant function spaces defined in R-n with the Lebesgue measure.

引用

页数：15