Density of translates in weighted $L^p$ spaces on locally compact groups

Evgeny Abakumov, Yulia Kuznetsova

Let $G$ be a locally compact group, and let $1\le p<\infty$. Consider the weighted $L^p$-space $L^p(G,\omega )=\{f:\int |f\omega {|}^p<\infty \}$, where $\omega :G\to \mathbb{R}$ is a positive measurab…