Characterization of Entire Sequences via Double Orlicz Space
نویسندگان
چکیده
Throughout, w, Γ, and∧ denote the classes of all, entire, and analytic scalar-valued single sequences, respectively. We write w2 for the set of all complex sequences (xmn), where m,n ∈ N is the set of positive integers. Then, w2 is a linear space under the coordinatewise addition and scalar multiplication. Some initial works on double sequence spaces are found in Bromwich [1]. Later on, they were investigated by Hardy [2], Móricz [3], Móricz and Rhoades [4], Basarir and Sonalcan [5], Tripathy [6], Colak and Turkmenoglu [7], Turkmenoglu [8], and many others. We need the following inequality in the sequel of the paper. For a,b ≥ 0 and 0 < p < 1, we have
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2007 شماره
صفحات -
تاریخ انتشار 2007