Extending $n$ times differentiable functions of several variables

Fejzić, Hajrudin, Rinne, Dan, and Weil, Clifford E.. "Extending $n$ times differentiable functions of several variables." Czechoslovak Mathematical Journal 49.4 (1999): 825-830. <http://eudml.org/doc/30526>.

@article{Fejzić1999,
abstract = {It is shown that $n$ times Peano differentiable functions defined on a closed subset of $\mathbb \{R\}^m$ and satisfying a certain condition on that set can be extended to $n$ times Peano differentiable functions defined on $\mathbb \{R\}^m$ if and only if the $n$th order Peano derivatives are Baire class one functions.},
author = {Fejzić, Hajrudin, Rinne, Dan, Weil, Clifford E.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Peano differentiability; differentiable functions; Baire class one functions; extension},
language = {eng},
number = {4},
pages = {825-830},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extending $n$ times differentiable functions of several variables},
url = {http://eudml.org/doc/30526},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Fejzić, Hajrudin
AU - Rinne, Dan
AU - Weil, Clifford E.
TI - Extending $n$ times differentiable functions of several variables
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 4
SP - 825
EP - 830
AB - It is shown that $n$ times Peano differentiable functions defined on a closed subset of $\mathbb {R}^m$ and satisfying a certain condition on that set can be extended to $n$ times Peano differentiable functions defined on $\mathbb {R}^m$ if and only if the $n$th order Peano derivatives are Baire class one functions.
LA - eng
KW - Peano differentiability; differentiable functions; Baire class one functions; extension
UR - http://eudml.org/doc/30526
ER -