On the $L_2$ Markov Inequality with Laguerre Weight

Geno Nikolov, Alexei Shadrin

Let $w_{\alpha }(t)=t^{\alpha }{e}^{-t}$, $\alpha >-1$, be the Laguerre weight function, and $|\cdot {|}_{w_{\alpha }}$ denote the associated $L_2$-norm, i.e., $$ | f|_{w_α}:=\Big(\int_{0}^{\infty}w_α(t)| f(t)|^2\…