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

页码：657 / 676

页数：20

共 43 条

[1]

Acerbi E, 2005, J REINE ANGEW MATH, V584, P117

[2] Regularity results for a class of functionals with non-standard growth [J].

Acerbi, E ;

Mingione, G .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2001, 156 (02) :121-140

[3] Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [J].

Almeida, A. ;

Harjulehto, P. ;

Hasto, P. ;

Lukkari, T. .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2015, 194 (02) :405-424

[4]

Almeida A, 2007, Z ANAL ANWEND, V26, P179

[5] Besov spaces with variable smoothness and integrability [J].

Almeida, Alexandre ;

Hasto, Peter .

JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (05) :1628-1655

[6] Embeddings of variable Hajlasz-Sobolev spaces into Holder spaces of variable order [J].

Almeida, Alexandre ;

Samko, Stefan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 353 (02) :489-496

[7]

[Anonymous], 1996, Applied Mathematical Sciences

[8]

[Anonymous], 2006, Journal of Function Spaces and Applications

[9]

[Anonymous], 1976, GRUNDLEHREN MATH WIS

[10]

Besov O. V., 2005, T MAT I STEKLOVA, V248, P52

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