Roopaei, HadiKara, Merve Ilkhan2021-12-012021-12-0120210163-05631532-2467https://doi.org/10.1080/01630563.2021.1895830https://hdl.handle.net/20.500.12684/10361Let Delta(-n) be the backward difference operator of order -n. In this paper, we study some properties of the matrix domain associated with this operator and after computing alpha-, beta-, gamma-duals, we characterize some matrix classes on this space. Moreover, we investigate the problem of finding the norm of well-known operators such as Cesaro and Hilbert from l(p)(Delta(-n)) into l(p).en10.1080/01630563.2021.1895830info:eu-repo/semantics/closedAccessCesaro matrixdifference operatordifference sequence spaceHilbert matrixnormArticle4244804962-s2.0-85102678775WOS:000628705400001Q2Q2