Representation theorem for locally defined operators in the space of Whitney differentiable functions

被引:8
|
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
关键词
CARATHEODORY OPERATORS;
D O I
10.1007/s00229-009-0283-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Under the assumption that A subset of R(n) is perfect, a representation theorem for locally defined operators mapping the space C(m)(A) of Whitney differentiable functions into C(1)(A) is given and an open problem is presented.
引用
收藏
页码:437 / 448
页数:12
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