Multipliers of spaces of derivatives

Mařík, Jan, and Weil, Clifford E.. "Multipliers of spaces of derivatives." Mathematica Bohemica 129.2 (2004): 181-217. <http://eudml.org/doc/249388>.

@article{Mařík2004,
abstract = {For subspaces, $X$ and $Y$, of the space, $D$, of all derivatives $M(X,Y)$ denotes the set of all $g\in D$ such that $fg \in Y$ for all $f \in X$. Subspaces of $D$ are defined depending on a parameter $p \in [0,\infty ]$. In Section 6, $M(X,D)$ is determined for each of these subspaces and in Section 7, $M(X,Y)$ is found for $X$ and $Y$ any of these subspaces. In Section 3, $M(X,D)$ is determined for other spaces of functions on $[0,1]$ related to continuity and higher order differentiation.},
author = {Mařík, Jan, Weil, Clifford E.},
journal = {Mathematica Bohemica},
keywords = {spaces of derivatives; Peano derivatives; Lipschitz function; multiplication operator; spaces of derivatives; Peano derivatives; Lipschitz function; multiplication operator},
language = {eng},
number = {2},
pages = {181-217},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multipliers of spaces of derivatives},
url = {http://eudml.org/doc/249388},
volume = {129},
year = {2004},
}

TY - JOUR
AU - Mařík, Jan
AU - Weil, Clifford E.
TI - Multipliers of spaces of derivatives
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 2
SP - 181
EP - 217
AB - For subspaces, $X$ and $Y$, of the space, $D$, of all derivatives $M(X,Y)$ denotes the set of all $g\in D$ such that $fg \in Y$ for all $f \in X$. Subspaces of $D$ are defined depending on a parameter $p \in [0,\infty ]$. In Section 6, $M(X,D)$ is determined for each of these subspaces and in Section 7, $M(X,Y)$ is found for $X$ and $Y$ any of these subspaces. In Section 3, $M(X,D)$ is determined for other spaces of functions on $[0,1]$ related to continuity and higher order differentiation.
LA - eng
KW - spaces of derivatives; Peano derivatives; Lipschitz function; multiplication operator; spaces of derivatives; Peano derivatives; Lipschitz function; multiplication operator
UR - http://eudml.org/doc/249388
ER -