Locally defined operators in the space of Whitney differentiable functions

被引：9

作者：

Matkowski, Janusz ^{[1
,2
]}

Wrobel, Malgorzata ^{[3
]}

机构：

[1] Univ Zielona Gora, Fac Math Comp Sci & Econometr, PL-65246 Zielona Gora, Poland

[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

[3] Jan Dlugosz Univ, Inst Math & Informat, PL-42200 Czestochowa, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 10期

关键词：

locally defined operator; left-hand defined operator; right-hand defined operator; superposition operator; Nemytskii operator; Whitney differentiable function; jet;

D O I：

10.1016/j.na.2007.02.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given set A subset of R-n a representation theorem for locally defined Operators mapping the space C-m (A) of Whitney differentiable functions into C-0(A) is presented. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2933 / 2942

页数：10

共 12 条

[1]

Appell J, 1990, CAMBRIDGE TRACTS MAT, V95

[2]

KARTAK K, 1967, CZECH MATH J, V17, P515

[3]

KARTAK K, 1967, CZECH MATH J, V17, P482

[4]

KOZLOWSKI W, 1980, COMM MATH PRACE MAT, V22, P85

[5]

Lichawski K., 1989, Bull. Polish Acad. Sci. Math., V37, P315

[6]

MALGRANGE B, 1966, IDEALS DIFFERENTIABL

[7]

RANDRIANANJA R, 1988, CR ACAD SCI I-MATH, V306, P667

[8]

SHARAGIN IV, 1976, DOKL AKAD NAUK SSSR, V227, P47

[9]

Shragin I. V., 1996, FUNCTIONAL DIFFERENT, V3, P447

[10]

VRKOC I, 1969, CZECH MATH J, V19, P99

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