Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents |
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Authors: | Jingjing Fu |
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Affiliation: | Department of Mathematics, Hainan Normal University, Haikou 571158, People?s Republic of China |
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Abstract: | In this paper, Morrey type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Then equivalent quasi-norms of these new spaces in terms of Peetre?s maximal functions are obtained. Finally, applying those equivalent quasi-norms, the authors obtain the atomic, molecular and wavelet decompositions of these new spaces. |
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Keywords: | Variable exponent Morrey space Besov space Triebel-Lizorkin space Equivalent norm Maximal function Atom Molecule Wavelet |
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