Domain of Padovan q-difference matrix in sequence spaces lp and l?

In this study, we construct the difference sequence spaces lp (P?2q) = (lp)P?2q, 1 ? p ?, where P (?rs) is an infinite matrix of Padovan numbers %s defined by ?rs {?s/?r+5-2 0 s r, > r. and ?2q a q-difference operator second order. We obtain some inclusion relations, topological properties, Schauder basis ?-, ?- ?-duals newly space. characterize certain classes from space to any one l1, c0, c or l?. examine geometric properties give estimation for von-Neumann Jordan constant James lp(P). Finally, estimate upper bound Hausdorff as mapping