| Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type |
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| 作者姓名： | 杨大春 |
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| 作者单位： | Department of |
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| 基金项目： | This work was supported by the Alexander von Humboldt Foundation of Germany and the State Education Department of China. |
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| 摘 要： | In this paper, the author establishes the embedding theorems for different metrics of inhomoge-neous Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. As an application, the author obtains some estimates for the entropy numbers of the embeddings in the limiting cases between some Besov spaces and some logarithmic Lebesgue spaces.
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Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type |
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| Dachun Yang.Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type[J].Science in China(Mathematics),2003,46(2):187-199. |
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| Authors: | Dachun Yang |
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| Institution: | Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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| Abstract: | In this paper, the author establishes the embedding theorems for different metrics of inhomoge-neous Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. As an application, the author obtains some estimates for the entropy numbers of the embeddings in the limiting cases between some Besov spaces and some logarithmic Lebesgue spaces. |
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| Keywords: | space of homogeneous type Triebel-Lizorkin space Besov space logarithmic Lebesgue space embedding entropy number |
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