Composition operators on Lizorkin-Triebel spaces

被引：31

作者：

Bourdaud, Gerard ^{[1
]}

Moussai, Madani ^{[2
]}

Sickel, Winfried ^{[3
]}

机构：

[1] Inst Math Jussieu, Equipe Anal Fonct, F-75013 Paris, France

[2] Univ MSila, Dept Math, LMPA, Msila 28000, Algeria

[3] FSU Jena, Math Inst, D-07743 Jena, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 259卷 / 05期

关键词：

Composition of functions; Composition operator; Lizorkin-Triebel spaces; Slobodeckij spaces; Bessel potential spaces; Functions of bounded variation; Wiener classes; Optimal inequalities; BOUNDED P-VARIATION; SOBOLEV SPACES; SUPERPOSITION OPERATORS; FUNCTIONAL-CALCULUS; SYMBOLIC-CALCULUS; BESOV ALGEBRAS;

D O I：

10.1016/j.jfa.2010.04.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of the composition operator Tf(g) := f o g on Lizorkin-Triebel spaces F(p,q)(s)(R). In case s > 1 + (1/p), 1 < p < infinity, and 1 <= q <= infinity we will prove the following; the operator T(f) takes Fq (it) to itself if and only if f(0) = 0 and f belongs locally to fq(111). (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1098 / 1128

页数：31

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