Hans Günzler

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math.FA2012

Generalized vector valued almost periodic and ergodic distributions

Bolis Basit, Hans Günzler

For $\Cal A\subset L^1_{loc}(\Bbb J,X)$ let $\Cal M\Cal A$ consist of all $f \in L_{l oc}^{1}$ with $ M_h f (\cdot):=\frac {1}{h}\int_{0}^{h}f(\cdot +s)\,ds \in \Cal A$ for all $h > 0$ .…

math.FA2012

Heat equation for weighted Banach space valued function spaces

Bolis Basit, Hans Günzler

We study the homogeneous equation (*) $u^{'} = Δ u$ , $t > 0$ , $u (0) = f \in w X$ , where $w X$ is a weighted Banach space, $w (x) = (1 + ∣∣ x ∣∣)^{k}$ , $x\in \r^n$ with $k \geq 0$ , $Δ$ is the Laplac…