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New characterizations of Besov and Triebel-Lizorkin spaces over spaces of homogeneous type |
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| Authors: | Yanchang Han Yanbo Xu |
| Affiliation: | a School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China b Department of Mathematics, Zhongshan University, Guangzhou, 510275, China c Department of Mathematics and Physics, Huaihai Institute of Technology, Jiangsu, 222005, China |
| Abstract: | Using the T1 theorem for the Besov and Triebel-Lizorkin spaces, we give new characterizations of Besov and Triebel-Lizorkin spaces with minimum regularity and cancellation conditions over spaces of homogeneous type. |
| Keywords: | T1 theorem Besov and Triebel-Lizorkin spaces Calderó n reproducing formula Plancherel-Pô lya inequalities |
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