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oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/154692026-10-22T11:37:58Zopenairedrivercom_gumushane_10000col_gumushane_10001com_gumushane_10007col_gumushane_10171

Continuity of superposition operators on the double sequence spaces LpSağır, BirsenGüngör, NihanContinuityDouble sequence spacesPringsheim’s convergentSuperposition operatorsIn this paper, we define the superposition operator Pg where g : N2 * R → R by Pg ((xks)) =g (k; s; xks) for all real double sequence (xks). Chew & Lee [4] and Petranuarat & Kemprasit [7] have characterized Pg : lp → l1 and Pg : lp → lq where 1 ≤ p; q < ∞, respectively. The main goal of this paper is to construct the necessary and sucient conditions for the continuity of Pg : Lp → L1 and Pg : Lp → Lq where 1 _ p; q < ∞.University of Nis2015Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/15469https://doi.org/10.2298/fil1509107s0354-5180enFilomatinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/15469