# Multipliers of spaces of derivatives

Mathematica Bohemica (2004)

- Volume: 129, Issue: 2, page 181-217
- ISSN: 0862-7959

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topMařík, 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 -

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