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New Herz type Besov and Triebel-Lizorkin spaces with variable exponents - MaRDI portal

New Herz type Besov and Triebel-Lizorkin spaces with variable exponents (Q1936447)

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scientific article; zbMATH DE number 6134541
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New Herz type Besov and Triebel-Lizorkin spaces with variable exponents
scientific article; zbMATH DE number 6134541

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    New Herz type Besov and Triebel-Lizorkin spaces with variable exponents (English)
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    5 February 2013
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    Summary: The authors establish the boundedness of the 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.
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    vector-valued Hardy-Littlewood maximal operator
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    Herz spaces
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    variable exponents
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    Besov and Triebel-Lizorkin spaces
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