Continuity of composition operators in Sobolev spaces

被引：4
|
作者：
Bourdaud, Gerard [1 ]
Moussai, Madani [2 ]
机构：
[1] Univ Paris, IMJ PRG, Case 7012, F-75205 Paris 13, France
[2] M Boudiaf Univ MSila, Lab Funct Anal & Geometry Spaces, Msila 28000, Algeria
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2019年 / 36卷 / 07期
关键词：
Composition operators; Sobolev spaces; DI BRUNO FORMULA; SUPERPOSITION OPERATORS; HOMOGENEOUS BESOV; REALIZATIONS; CALCULUS;
D O I：
10.1016/j.anihpc.2019.07.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that all the composition operators T-f (g) := f o g, which take the Adams-Frazier space W-m(p) boolean AND (W)over dot(mp)(1) (R-n) to itself, are continuous mappings from W-p(m) boolean AND (W)over dot(mp)(1) (R-n) to itself, for every integer m >= 2 and every real number 1 <= p < infinity. The same automatic continuity property holds for Sobolev spaces W-p(m) (R-n) for m >= 2 and 1 <= p < infinity. (C) 2019 Elsevier Masson SAS. All rights reserved.
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页码：2053 / 2063
页数：11
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