Asymptotics, trace, and density results for weighted Dirichlet spaces defined on the halfline

Claudia Capone, Agnieszka Kałamajska

We give analytic description for the completion of $C_0^{\infty }({\mathbf{R}}_{+})$ in Dirichlet space $D^{1,p}(\mathbf{R}_+, ω):= \{ u:\mathbf{R}_+\rightarrow \mathbf{R}: u\ \hbox{ is…