Saliha, MelianiSupervisor: MADANI, MOUSSAI2025-11-302025-11-302024https://repository.univ-msila.dz/handle/123456789/47874In the context of homogeneous spaces of the type (2)~/VA>0, reR, we define the realized spaces associated with the Besov spaces B (R") (Besov-type B (R")) and Triebel-Lizorkin spaces F (R) (Triebel-Lizorkin-type (R")) they will be denoted by B(R) (B(R")) and (R") ((R")), respectively; here r:=s-n/p (and r:= s+nt-n/p). These spaces are subspaces of regular tempered distributions. We study the con-tinuity of pseudo-differential operators on F (R"). We establish functional characterizations by difference operators of the realized spaces associated with homogeneous Besov-type spaces. Triebel-enLittlewood-Paley decompositionBesov spacesTriebel-Lizorkin spacesPseudo differential operatorsRealizationsThesis