Characterizations of Besov-type and Triebel-Lizorkin-type spaces by differences (Q657323)

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scientific article; zbMATH DE number 5997926
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Characterizations of Besov-type and Triebel-Lizorkin-type spaces by differences
scientific article; zbMATH DE number 5997926

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    Characterizations of Besov-type and Triebel-Lizorkin-type spaces by differences (English)
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    16 January 2012
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    Summary: We present characterizations of the Besov-type spaces \(B^{s,\tau}_{p,q}\) and the Triebel-Lizorkin-type spaces \(F^{s,\tau}_{p,q}\) by differences. All these results generalize the existing classical results on Besov and Triebel-Lizorkin spaces by taking \(\tau = 0\).
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    Besov-type spaces
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    Triebel-Lizorkin-type spaces
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