New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
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具有变指数的新Herz型Besov和Triebel-Lizorkin空间

DOI:
10.1155/2012/384593
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发表时间:
2012-01-01
影响因子:
--
通讯作者:
Xu, Jingshi
Xu, Jingshi
中科院分区:
其他
文献类型:
--
作者:
Dong, Baohua;Xu, Jingshi

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The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given.