多线性分数次积分算子的迭代交换子在Lipschitz空间上有界性

Journal: Educational Research DOI: 10.32629/er.v2i9.2003

房成龙

伊犁师范大学数学与统计学院

Abstract

结合Lipschitz函数的性质,本文证明了多线性分数次积分算子与Lipschitz函数生成的迭代交换子从乘积Lebesgue空间到Lipschitz空间的有界性。

Keywords

多线性分数次积分;迭代交换子;Lipschitz空间;Lebesgue空间;有界性

References

[1] CoifmanRR,MeterY.Oncommutatorsofsingularintegralsandbilinearsingularintegrals[J].TransAmerMathSoc,1975,212:315-313.
[2] CoifmanR,RochbergR,WeissG.FactorizationtheoremsforHardyspacesinseveralvariables[J].Ann.Math,1976,103:611-635.
[3] KenigCE,SteinED.Multilinearestimatesandfractionalintegration[J].Math.Res.Lett,1999,6:1-15.
[4] 默会霞,张志英.多线性分数次积分与Lipschitz函数生成的交换子的有界性[J]. 数学物理学报,2011,31A(5):1447-1458.
[5] DevoreRA,SharpleyRC.Maximalfunctionsmeasuringsmoothness[J].MemoirsOfTheAmericanMathematical,1984,47.

Copyright © 2019 房成龙

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License