On the weighted variable exponent amalgam space W(L-P(X) , L-M(Q))
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CitationGürkanlı, A.T. ve Aydın, İ. (2014). On The Weighted Variable Exponent Amalgam Space W(L-P(X) , L-M(Q)). Acta Mathematica Scientia. 34.4, 1098-1110.
In , a new family W(L-p(x), L-m(q))of Wiener amalgam spaces was defined and investigated some properties of these spaces, where local component is a variable exponent Lebesgue space L-p(x) (R) and the global component is a weighted Lebesgue space L-m(q) (R). This present paper is a sequel to our work . In Section 2, we discuss necessary and sufficient conditions for the equality W (L-p(x), L-m(q)) = L-q (R). Later we give some characterization of Wiener amalgam space W (L-p(x), L-m(q)). In Section 3 we define the Wiener amalgam space W (FLp(x), L-m(q)) and investigate some properties of this space, where FLp(x) is the image of L-p(x)) under the Fourier transform. In Section 4, we discuss boundedness of the Hardy-Littlewood maximal operator between some Wiener amalgam spaces.