%0 Journal Article %T Lichawski-Matkowski-Mi theorem on locally defined operators for functions of several variables %A Ma£¿gorzata Wr¨®bel %J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica %D 2008 %I Krak¨®w : Wydawnictwo Naukowe Uniwersytetu Pedagogicznego %X Let $D$ be a regular closed set in the open subspace $G subset mathbb{R}^{n} R$ and $C^{m} (D)$ be the space of functions $f|_{D}$ such that $f in C^{m} (G)$. The representation formulas for locally defined operators mapping $C^{m} (D)$ into $C^{0} (D)$ and into $C^1 (D)$ are given. %U http://studmath.up.krakow.pl/index.php/studmath/article/view/71