On a variant of Hardy inequality between weighted Orlicz spaces

Agnieszka Kalamajska, Katarzyna Pietruska-Paluba

Let M be an N-function satisfying the ${\Delta }_2$- condition, let $ω, \vp$ be two other functions, $\omega \ge 0$. We study Hardy-type inequalities \[ \int_{\rp} M(ω(x)|u(x)|) {\rm exp}(-\vp (…