| APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES |
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| 作者姓名： | 徐景实 杨大春 |
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| 作者单位： | Department of Mathematics，Beijing Normal University，Beijing 100875，China Department of Mathematics，Hunan University，Changsha 410082，China，Department of Mathematics，Beijing Normal University，Beijing 100875，China |
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| 基金项目： | Xu Jingshi was partially supported by NSF of Hunan in China，Yang DaChun was partially supported by NNSF(10271015)and SEDF of China |
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| 摘 要： | In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then studythe pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers.
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| 收稿时间： | 2 April 2001 |
APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES |
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| Xu Jingshi Yang Dachun.APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES[J].Acta Mathematica Scientia,2003,23(3):328-338. |
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| Authors: | Xu Jingshi Yang Dachun |
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| Institution: | Xu Jingshi Yang Dachun
1.Department of Mathematics,Beijing Normal University,Beijing 100875,China 2.Department of Mathematics,Hunan University,Changsha 410082,China |
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| Abstract: | In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then study the pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers. |
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| Keywords: | Herz-type space Triebel-Lizorkin space pointwise multiplier pseudodifferential operator maximal operator |
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