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Littlewood-Paley Functions and Triebel-Lizorkin Spaces,Besov Spaces |
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| Authors: | Dashan Fan & Fayou Zhao |
| Abstract: | We establish Littlewood-Paley characterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers. |
| Keywords: | Littlewood-Paley square functions Triebel-Lizorkin spaces Besov spaces spherical average ball average Bochner-Riesz means. |
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