Abstract

The aim of the present paper is to investigate the weighted relative extremal functions and weighted capacities with weights in the Cegrell classes F and E. Some results on the connection between the weighted capacities with the weighted relative extremal functions are established. Moreover, we give a characterization of weighted capacities Cn,u through u and prove the absolute continuity of Cn,u with respect to the Sadullaev’s weighted capacity Pn,u.