Yazar "Gürkanli, A. Turan" seçeneğine göre listele

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    Öğe
    On some properties of the spaces Awp(x)(R n)
    (2009) Aydin, Ismail; Gürkanli, A. Turan
    For 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).
  • [ X ]
    Öğe
    On the weighted variable exponent amalgam space W (Lp(x), Lmq)
    (Elsevier, 2014) Gürkanli, A. Turan; Aydin, Ismail
    In [4], a new family. W (Lp(x),Lmq) of Wiener amalgam spaces was defined and investigated some properties of these spaces, where local component is a variable exponent Lebesgue space Lp(x) (ℝ) and the global component is a weighted Lebesgue space Lqm(ℝ). This present paper is a sequel to our work [4]. In Section 2, we discuss necessary and sufficient conditions for the equality. W (Lp(x),Lmq)=Lq(ℝ). Later we give some characterization of Wiener amalgam space. W (Lp(x),Lmq). In Section 3 we define the Wiener amalgam space. W (FLp(x),Lmq) and investigate some properties of this space, where. FLp(x) is the image of Lp(x) under the Fourier transform. In Section 4, we discuss boundedness of the Hardy-Littlewood maximal operator between some Wiener amalgam spaces. © 2014 Wuhan Institute of Physics and Mathematics.