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Marcinkiewiz integral commutators Some Bounded results

Author: LiuXiaoHui
Tutor: ZhaoKai
School: Qingdao University
Course: Applied Mathematics
Keywords: weighted Hardy space weighted function Marcinkiewicz integrals weighted Herz type Hardy spaces boundedness
CLC: O177.6
Type: Master's thesis
Year: 2011
Downloads: 11
Quote: 0
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Abstract


Marcinkiewicz integral commutator is an important tool in harmonic anal-ysis,the boundedness of Marcinkiewicz integral commutator with homogeneous kernel from Hω1(Rn)toL(ωn/(nβ))/(n/(n-β))(Rn) is obtained by the theory of atomic Hardy space and the weighted boundedness of Marcinkiewicz integral commutator in Lp. And the boundedness of Marcinkiewicz integral commutator with kernel in Lipγ(Sn-1) is also obtained in Hω1(Rn).The character of Marcinkiewicz integral commutator is becoming more and more perfectable, the other charactor will be obtained in future.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis > Integral transforms and operational calculus
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