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

Authors:	Janusz Matkowski Małgorzata Wróbel

Institution:	(1) Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Podgórna 50, 65246 Zielona Góra, Poland;(2) Institute of Mathematics, Silesian University, Bankowa 14, 40007 Katowice, Poland;(3) Institute of Mathematics and Informatics, Jan Długosz University, Armii Krajowej 13/15, 42200 Częstochowa, Poland

Abstract:	Under the assumption that ${A\subset\mathbb{R}^{n}}$ 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.

Keywords:	Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 47H30 Secondary 34A34
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