Interpolation in variable exponent spaces

被引：15

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

页码：657 / 676

页数：20

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