Interpolations of Mixed-Norm Function Spaces

被引：6

作者：

Wu, Suqing ^{[1
]}

Yang, Dachun ^{[2
]}

Yuan, Wen ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ China, Sch Math Sci, Beijing 100875, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2022年 / 45卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Calderon product; Gagliardo-Peetre method; +/- Method; Mixed-norm function space; Ball quasi-Banach function space; LIZORKIN-TRIEBEL SPACES; LORENTZ SPACES; COMPLEX INTERPOLATION; LEBESGUE SPACES; BANACH-SPACES; MORREY SPACES; OPERATORS; BESOV; REAL; LP;

D O I：

10.1007/s40840-021-01187-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is devoted to presenting a general interpolation result on mixed-norm function spaces generated by quasi-Banach lattices. Under certain conditions, the authors show that such mixed-norm function spaces are closed under the Calderon product and the +/- interpolation method. As applications, the authors obtain some new interpolation results for mixed-norm variable Lebesgue spaces, mixed-norm Lorentz spaces, and mixed-norm Morrey spaces.

引用

页码：153 / 175

页数：23

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