ON THE WEIGHTED VARIABLE EXPONENT AMALGAM SPACE W(L^p(x), Lm^q) |
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作者姓名: | A. TUran GURKANLI ;Ismail AYDIN |
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作者单位: | [1]Department of Mathematics and Computer Science, Faculty of Sciences and Letters, Istanbul Arel University, Turkoba Mathallesi Erguvan Sokak No: 26/K34537, Tepekent-Buyukcekmece, Istanbul, Turkey; [2]Department of Mathematics, Faculty of Arts and Sciences, Sinop University, Sinop, Turkey |
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基金项目: | Acknowledgements The authors want to thank H. G. Feichtinger for his significant suggestion and helpful discussion regarding this paper. |
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摘 要: | In 4], a new family W(L^p(x), Lm^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 Lm^q (R). This present paper is a sequel to our work 4]. In Section 2, we discuss necessary and sufficient conditions for the equality W (L^p(x), Lm^q) = L^q (R). Later we give some characterization of Wiener amalgam space W (L^p(x), Lm^q).In Section 3 we define the Wiener amalgam space W (FL^p(x), Lm^q) and investigate some properties of this space, where FL^p(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.
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关 键 词: | 勒贝格空间 合金 加权 Littlewood 汞 佛罗里达州 充分必要条件 傅立叶变换 |
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