Continuity of composition operators in Sobolev spaces

被引：6

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.

引用

页码：2053 / 2063

页数：11

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