Heisenberg群上与薛定谔算子相关的谱乘子的有界性

Boundedness of Spectral Multiplier Theorem Associated with Schrdinger Operator on Heisenberg Group

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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)(1<p<∞)及Hardy空间H1L(Hn)上有界. 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.

作者黄际政刘招

机构地区北方工业大学理学院

出处《北方工业大学学报》 2012年第3期57-62,共6页 Journal of North China University of Technology

关键词谱乘子 HARDY空间 HEISENBERG群逆Hlder类薛定谔算子 spectral multiplier Hardy space Heisenberg group reverse HOlder class Schrodinger operator

分类号 O174 [理学—基础数学]

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北方工业大学学报

2012年第3期

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Heisenberg群上与薛定谔算子相关的谱乘子的有界性

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