| Operator-valued Fourier Multipliers on Periodic Triebel Spaces |
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| 引用本文： | Shang Quan BU Jin Myong KIM. Operator-valued Fourier Multipliers on Periodic Triebel Spaces[J]. 数学学报(英文版), 2005, 21(5): 1049-1056. DOI: 10.1007/s10114-004-0453-9 |
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| 作者姓名： | Shang Quan BU Jin Myong KIM |
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| 作者单位： | Department of Mathematical Science, University of Tsinghua, Beijing 100084, P. R. China |
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| 基金项目： | The first author is supported by the NSF of China and the Excellent Young Teachers Program of M0E, P.R.C. |
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| 摘 要： |
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| 关 键 词： | 傅立叶算子 向量值 Triebel空间 不等式 周期性 |
| 收稿时间： | 2002-11-27 |
| 修稿时间： | 2002-11-272003-03-17 |
Operator–valued Fourier Multipliers on Periodic Triebel Spaces |
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| Shang Quan Bu,Jin Myong Kim. Operator–valued Fourier Multipliers on Periodic Triebel Spaces[J]. Acta Mathematica Sinica(English Series), 2005, 21(5): 1049-1056. DOI: 10.1007/s10114-004-0453-9 |
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| Authors: | Shang Quan Bu Jin Myong Kim |
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| Affiliation: | (1) Department of Mathematical Science, University of Tsinghua, Beijing 100084, P. R. China |
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| Abstract: | We establish operator-valued Fourier multiplier theorems on periodic Triebel spaces, where the required smoothness of the multipliers depends on the indices of the Triebel spaces. This is used to give a characterization of the maximal regularity in the sense of Triebel spaces for Cauchy problems with periodic boundary conditions. |
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| Keywords: | Operator-valued Fourier multiplier Vector-valued Triebel space Vector-valued maximal inequality Maximal regularity |
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