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

共 50 条

[31] Fractional operators of variable order from variable exponent Morrey spaces to variable exponent Campanato spaces on quasi-metric measure spaces with growth condition
Rafeiro, Humberto
Samko, Stefan
RICERCHE DI MATEMATICA, 2024, 73 (02) : 803 - 818
[32] Fractional operators of variable order from variable exponent Morrey spaces to variable exponent Campanato spaces on quasi-metric measure spaces with growth condition
Humberto Rafeiro
Stefan Samko
Ricerche di Matematica, 2024, 73 : 803 - 818
[33] Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent
Izuki, Mitsuo
Noi, Takahiro
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 2981 - 3013
[34] Hardy Spaces Associated to Critical Herz Spaces with Variable Exponent
Mitsuo Izuki
Takahiro Noi
Mediterranean Journal of Mathematics, 2016, 13 : 2981 - 3013
[35] THE MAXIMAL OPERATOR IN WEIGHTED VARIABLE EXPONENT SPACES ON METRIC SPACES
Kokilashvili, Vakhtang
Samko, Stefan
GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (04) : 683 - 712
[36] Generalized potentials in variable exponent Lebesgue spaces on homogeneous spaces
Hajibayov, Mubariz G.
Samko, Stefan
MATHEMATISCHE NACHRICHTEN, 2011, 284 (01) : 53 - 66
[37] On Compactness of Operators in Variable Exponent Lebesgue Spaces
Samko, Stefan
TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 497 - 508
[38] Approximation problems in the Lebesgue spaces with variable exponent
Israfilov, Daniyal M.
Testici, Ahmet
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 459 (01) : 112 - 123
[39] Holder quasicontinuity in variable exponent Sobolev spaces
Harjulehto, Petteri
Kinnunen, Juha
Tuhkanen, Katja
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007, 2007 (1)
[40] Quasicontinuity on Weighted Sobolev Spaces with Variable Exponent
Pinhong LONG
Huili HAN
Journal of Mathematical Research with Applications, 2016, 36 (06) : 659 - 664

← 1 2 3 4 5 →