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
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
收藏
页码:153 / 175
页数:23
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