| Herz-type Triebel-Lizorkin Spaces, Ⅰ |
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| 作者姓名： | Jing Shi XU Da Chun YANG |
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| 作者单位： | [1]Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China [2]Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China |
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| 基金项目： | The first author is partially supported by NNSF （No. 60474070） and NSF of Hunan, China （01JJY3003）; the second （corresponding） author is partially supported by RFDP （No. 20020027004） and NNSF （No. 10271015） of China |
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| 摘 要： | Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces,Kq^α,pFβ^s（R^n）andKq^α,pFβ^s（R^n）which are the generalizations of the well-known Herz-type spaces and the inhomogeneous Triebel-Lizorkin spaces, Some properties on these Herz-type Triebel Lizorkin spaces are also given.
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| 关 键 词： | Herz空间 Triebel-Lizorkin空间 最大函数 乘法器 |
| 收稿时间： | 2001-10-20 |
| 修稿时间： | 2001-10-202002-05-16 |
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