Matrix domains of Maddox-type Paranormed sequence spaces induced by Norlund matrices from combinatorial sequences

We study matrix domains of paranormed sequence spaces obtained by applying lower triangular (triangle) matrices to Maddox-type variable-exponent spaces. A flexible family of such triangles is produced by N¨orlund matrices generated from admissible weight sequences, including Fibonacci, Pell, Motzkin, and Catalan numbers. For a base paranormed FK-space X ⊆ ω and a triangle A, the associated matrix domain XA = {x∈ω: Ax∈X} is equipped with the transported paranorm qA(x) = qX(Ax). We prove that completeness and the FK-structure pass from X to XA, that XA is (isometrically) isomorphic to X via the map x→ Ax, and that Schauder bases are preserved under passage to matrix domains. Finally, we describe the K¨othe-Toeplitz α-, β-, and γ-duals of XA in terms of the corresponding duals of X and the inverse triangle A−1, and we specialize the general results to N¨orlund matrices arising from classical integer sequences.