Interpolation in variable exponent spaces

被引：17
作者：
Almeida, Alexandre [1 ]
Hasto, Peter [2 ]
机构：
[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat, P-3810193 Aveiro, Portugal
[2] Univ Oulu, Dept Math Sci, Ouluf 90014, Finland
来源：
REVISTA MATEMATICA COMPLUTENSE | 2014年 / 27卷 / 02期
关键词：
Non-standard growth; Variable exponent; Besov space; Triebel-Lizorkin space; Real interpolation; Complex interpolation; Trace operator; Pseudodifferential operators; BESSEL POTENTIAL SPACES; ELLIPTIC-EQUATIONS; SOBOLEV SPACES; BESOV-SPACES; SMOOTHNESS; FUNCTIONALS; INTEGRABILITY; REGULARITY; EMBEDDINGS;
D O I：
10.1007/s13163-013-0135-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel-Lizorkin spaces. We also take advantage of some interpolation results to study a trace property and some pseudodifferential operators acting in the variable index Besov scale.
引用
收藏
页码：657 / 676
页数：20
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