Density results and trace operator in weighted Sobolev Spaces defined on the half line equipped with power weights

Radosław Kaczmarek, Agnieszka Kałamajska

We study properties of $W_0^{1,p}({\mathbb{R}}_{+},t^{\beta })$ - the completion of $C_0^{\infty }({\mathbb{R}}_{+})$ in the power-weighted Sobolev spaces $W^{1,p}({\mathbb{R}}_{+},t^{\beta })$, where $β\in\ma…