T. Pedersen

activity

20092016

collaborators

4 papers

math.FA2016

Generalized Hardy-Cesàro operators between weighted spaces

Thomas Vils Pedersen

We characterize those non-negative, measurable functions $ψ$ on $[0, 1]$ and positive, continuous functions $ω_{1}$ and $ω_{2}$ on $R^{+}$ for which the generalized Hardy-Cesàro o…

math.FA2013

Properties of derivations on some convolution algebras

Thomas Vils Pedersen

For all the convolution algebras $L^{1} [0, 1), L_{loc}^{1}$ and $A (ω) = ⋂_{n} L^{1} (ω_{n})$ , the derivations are of the form $D_{μ} f = X f * μ$ for suitable measures $μ$ , where $(Xf)(t)…

math.FA2011

Compactness and weak-star continuity of derivations on weighted convolution algebras

Thomas Vils Pedersen

Let $ω$ be a continuous weight on $R^{+}$ and let $L^{1} (ω)$ be the corresponding convolution algebra. By results of Grønbæk and Bade & Dales the continuous derivations from $L…

math.FA2009

A class of weighted convolution Fréchet algebras

Thomas Vils Pedersen

For an increasing sequence $(ω_{n})$ of algebra weights on $R^{+}$ we study various properties of the Fréchet algebra $A (ω) = ⋂_{n} L^{1} (ω_{n})$ obtained as the intersection of…