2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133276In this paper we introduce the notion of weighted (weakly) almost periodic compactifcation of a semitopological semigroup and generalize this notion to corresponding notion for transformation semigroup.The inclusion relation and equality of some well known function spaces on a weighted transformation semigroup is also investigated.10 pages published in international mathematical forumFunctional Analysis22A15 ; 32J05On the transformation semitopological semigrouptext