Complex interpolation on variable exponent Campanato spaces of order k

被引：2

作者：

Meskhi, Alexander ^{[1
,2
]}

Rafeiro, Humberto ^{[3
]}

Zaighum, Muhammad Asad ^{[3
,4
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, Dept Math Anal, A Razmadze Math Inst, Tbilisi, Georgia

[2] Georgian Tech Univ, Dept Math, Fac Informat & Control Syst, Tbilisi, Georgia

[3] Pontificia Univ Javeriana, Dept Matemat, Bogota, Colombia

[4] Riphah Int Univ, Dept Math & Stat, Islamabad, Pakistan

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2017年 / 62卷 / 06期

基金：

美国国家科学基金会;

关键词：

Riesz-Thorin interpolation theorem; complex interpolation; variable exponent spaces; Campanato spaces; MORREY;

D O I：

10.1080/17476933.2016.1244190

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show the validity of a Riesz-Thorin type interpolation theorem for linear operators acting from variable exponent Lebesgue spaces into variable exponent Campanato spaces of order k.

引用

页码：795 / 813

页数：19

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