关于Triebei空间上的算子值傅里叶乘子 |
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引用本文: | 步尚全,金进明. 关于Triebei空间上的算子值傅里叶乘子[J]. 应用泛函分析学报, 2009, 11(1): 1-8 |
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作者姓名: | 步尚全 金进明 |
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作者单位: | 清华大学数学科学系,北京100084 |
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基金项目: | The first author is supported by the NSF of China (10571099) |
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摘 要: | 利用Stroemberg-Torchinsky分解,给出了Triebel空间Fp-q(R^n,X)上算子值傅里叶乘子的一个充分条件.在n〈min(p,q)情形下,这里给出的充分条件改进了之前已知的结果.
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关 键 词: | Triebel空间 算子值傅里叶乘子 Stroemberg-Torchinsky分解 |
Some Remarks about Operator-valued Fourier Multiplier Theorems on Triebel Spaces |
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Affiliation: | BU Shang-quan, KIM Jin-myong (Department of Mathematical Sciente, Tsinghua University, Beijing 100084, China) |
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Abstract: | Using the decomposition of Stromberg-Torchinsky, an operator-valued Fourier multiplier theorem on Triebel spaces on Rn is established. The result we obtained improves our previous result in the case n 〈 min(p,q). |
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Keywords: | representation of operators delay equation evolutionary integral equation asymptoticbehaviour of solutions control Laplace transform Fourier transform |
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