ON THE WEIGHTED VARIABLE EXPONENT AMALGAM SPACE W(Lp(x), Lqm)

doi:10.1016/S0252-9602(14)60072-2

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (4): 1098-1110.doi: 10.1016/S0252-9602(14)60072-2

ON THE WEIGHTED VARIABLE EXPONENT AMALGAM SPACE W(L^p^(x), L^q_m)

A. Turan GÜRKANLI^*, Ismail AYDIN

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； Department of Mathematics, Faculty of Arts and Sciences, Sinop University, Sinop, Turkey

收稿日期:2013-05-15 出版日期:2014-07-20 发布日期:2014-07-20
通讯作者: A. Turan GüRKANLI，turangurkanli@arel.edu.tr E-mail:turangurkanli@arel.edu.tr；iaydin@sinop.edu.tr

ON THE WEIGHTED VARIABLE EXPONENT AMALGAM SPACE W(L^p^(x), L^q_m)

A. Turan GÜRKANLI^*, Ismail AYDIN

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； Department of Mathematics, Faculty of Arts and Sciences, Sinop University, Sinop, Turkey

Received:2013-05-15 Online:2014-07-20 Published:2014-07-20
Contact: A. Turan GüRKANLI，turangurkanli@arel.edu.tr E-mail:turangurkanli@arel.edu.tr；iaydin@sinop.edu.tr

摘要/Abstract

摘要：

In [4] , a new family W(L^p^(x), L^q_m) 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^q_m (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), L^q_m)= L^q (R) . Later we give some characterization of Wiener amalgam space W(L^p^(x), L^q_m). In Section 3 we define the Wiener amalgam space W(FL^p^(x), L^q_m) 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.

关键词: weighted Lebesgue space, variable exponent Lebesgue

Abstract:

Key words: weighted Lebesgue space, variable exponent Lebesgue

中图分类号:

42B25

A. Turan GüRKANLI, Ismail AYDIN. ON THE WEIGHTED VARIABLE EXPONENT AMALGAM SPACE W(L^p^(x), L^q_m)[J]. 数学物理学报(英文版), 2014, 34(4): 1098-1110.

A. Turan GüRKANLI, Ismail AYDIN. ON THE WEIGHTED VARIABLE EXPONENT AMALGAM SPACE W(L^p^(x), L^q_m)[J]. Acta mathematica scientia,Series B, 2014, 34(4): 1098-1110.

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ON THE WEIGHTED VARIABLE EXPONENT AMALGAM SPACE W(L^p^(x), L^q_m)

ON THE WEIGHTED VARIABLE EXPONENT AMALGAM SPACE W(L^p^(x), L^q_m)

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