Multipliers of spaces of derivatives

Mařík, Jan ; Weil, Clifford E.

Mathematica Bohemica, Tome 129 (2004) no. 2, pp. 181-217.

Résumé

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.

Détail

DOI : 10.21136/MB.2004.133900

Classification : 26A21, 26A24, 47B37, 47B38
Keywords: spaces of derivatives; Peano derivatives; Lipschitz function; multiplication operator