Herz type Besov and Triebel-Lizorkin spaces with variable exponent

被引:0
作者
Chune Shi
Jingshi Xu
机构
[1] Hainan Normal University,Department of Mathematics
来源
Frontiers of Mathematics in China | 2013年 / 8卷
关键词
Variable exponent; Herz space; Besov space; Triebel-Lizorkin space; equivalent norm; maximal function; 46E35; 42B25;
D O I
暂无
中图分类号
学科分类号
摘要
The Herz type Besov and Triebel-Lizorkin spaces with variable exponent are introduced. Then characterizations of these new spaces by maximal functions are given.
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页码:907 / 921
页数:14
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  • [1] Almeida A.(2008)Maximal and potential operators in variable exponent Morrey spaces Georgian Math J 15 198-208
  • [2] Hasanov J.(2010)Besov spaces with variable smoothness and integrability J Funct Anal 258 1628-1655
  • [3] Samko S.(1980)Weighted inequalities for vector-valued maximal functions and singular integrals Studia Math 69 19-31
  • [4] Almeida A.(2006)The Boundedness of classical operators on valible Ann Acad Sci Fenn Math 31 239-264
  • [5] Höstö P.(2003) spaces Ann Acad Sci Fenn Math 28 223-238
  • [6] Andersen K.(2004)The maximal function on variable Math Inequal Appl 7 245-253
  • [7] John R.(2005) spaces Bull Sci Math 129 657-700
  • [8] Cruz-Uribe D.(2009)Maximal function on generalized Lebesgue spaces J Funct Anal 256 1731-1768
  • [9] Fiorenza A.(1971)Maximal functions on Musielak-Orlicz spaces and generalized Lebesgue spaces Amer J Math 93 107-115
  • [10] Martell C.(1985)Function spaces of variable smoothness and integrability Indiana Univ Math J 34 777-799