Aydin, IsmailGürkanli, A. Turan2025-03-232025-03-2320091598-7264https://hdl.handle.net/11486/4476For 1 ≤ p < ∞, Ap (Rn) denotes the space of all complex-valued functions in L1 (Rn) whose Fourier transforms f̌ belong to Lp(Rn). A number of authors such as Larsen, Liu and Wang [12], Martin and Yap [14], Lai [11] worked on this space. Some generalizations to the weighted case was given by Gurkanli [7], Feichtinger and Gurkanli [4], Fischer, Gurkanli and Liu [5]. In the present paper we give another generalization of Ap (Rn) to the generalized Lebesgue space Lp(x)(Rn). We define A p(x)w (Rn) to be the space of all complex-valued functions in L1w (Rn) whose Fourier transforms f̌ belong to the generalized Lebesgue space L p(x)(Rn). We endow it with a sum norm and show that A p(x)w (Rn) is an Sw(Rn) space [2]. Further we discuss the multipliers of Ap(x)w (Rn).eninfo:eu-repo/semantics/closedAccessConference Object1221411552-s2.0-70350325739Q3