| Heisenberg 群上与薛定谔算子相关的谱乘子的有界性 |
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| 引用本文： | 黄际政,刘招.Heisenberg 群上与薛定谔算子相关的谱乘子的有界性[J].北方工业大学学报,2012,24(3):57-62. |
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| 作者姓名： | 黄际政 刘招 |
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| 作者单位： | 北方工业大学理学院,100144,北京;北方工业大学理学院,100144,北京 |
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| 摘 要： | 证明了当函数F满足Mihlin条件时,谱乘子F(L)=integral from n=0 to ∞(F(λ)dEL(λ))在Lp(Hn)(1p∞)及Hardy空间H1L(Hn)上有界.
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| 关 键 词： | 谱乘子 Hardy空间 Heisenberg群 逆H(o)lder类 薛定谔算子 |
Boundedness of Spectral Multiplier Theorem Associated with Schrodinger Operator on Heisenberg Group |
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| Huang Jizheng
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Liu Zhao.Boundedness of Spectral Multiplier Theorem Associated with Schrodinger Operator on Heisenberg Group[J].Journal of North China University of Technology,2012,24(3):57-62. |
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| Authors: | Huang Jizheng Liu Zhao |
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| Affiliation: | Huang Jizheng Liu Zhao (Col. of Science, North China Univ. of Tech. , 100144, Beijing, China) |
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| Abstract: | This paper proves that the spectral multiplier F（L）=∫0∞F（λ）dEL（λ） is bounded in Lp（Hn）（1〈p〈∞）and Hardy space HL1 （Hn） , when the function F satisfies the Mihlin condition. |
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| Keywords: | spectral multiplier Hardy space Heisenberg group reverse HOlder class Schrodinger operator |
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