| Function spaces on local fields |
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| 作者姓名： | SU Weiyi & XU Qiang |
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| 作者单位： | SU Weiyi & XU Qiang Department of Mathematics，Nanjing University，Nanjing 210093，China |
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| 摘 要： | We study the function spaces on local fields in this paper, such as Triebel B-type and F-type spaces, Holder type spaces, Sobolev type spaces, and so on, moreover, study the relationship between the p-type derivatives and the Holder type spaces. Our obtained results show that there exists quite difference between the functions defined on Euclidean spaces and local fields, respectively. Furthermore, many properties of functions defined on local fields motivate the new idea of solving some important topics on fractal analysis.
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| 收稿时间： | 2 February 2005 |
| 修稿时间： | 12 April 2005 |
Function spaces on local fields |
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| SU Weiyi & XU Qiang.Function spaces on local fields[J].Science in China(Mathematics),2006,49(1):66-74. |
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| Authors: | SU Weiyi XU Qiang |
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| Institution: | Department of Mathematics, Nanjing University, Nanjing 210093, China |
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| Abstract: | We study the function spaces on local fields in this paper, such as Triebel B-type and F-type spaces, Holder type spaces, Sobolev type spaces, and so on, moreover, study the relationship between the p-type derivatives and the Holder type spaces. Our obtained results show that there exists quite difference between the functions defined on Euclidean spaces and local fields, respectively. Furthermore, many properties of functions defined on local fields motivate the new idea of solving some important topics on fractal analysis. |
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| Keywords: | local field character group Triebel B-type and F-type spaces Holder type space |
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