调和分析及其应用中的一些问题

图书标准信息

• 作者 李俊峰、李晓春、陆国震 编
• 出版社 高等教育出版社
• 出版时间 2015-08
• 版次 1
• ISBN 9787040430189
• 定价 98.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 422页
• 字数 680千字
• 正文语种 简体中文

【内容简介】

　　陆善镇教授专攻调和分析及其应用，特别是在Bochner-Riesz平均、奇异积分和振荡积分算子有界性以及函数空间理论方面做出了重要的贡献。他培养了一大批中青年数学工作者并成为中国调和分析及其应用领域的中坚力量。陆先生曾担任北京师范大学校长，现担任温州-肯恩大学校长。
　　《调和分析及其应用中的一些问题》内容定位于陆善镇教授做出重要成就及感兴趣的领域，汇集了多位数学家以及陆先生的朋友和学生撰写的学术论文，包括了Calderón-Zygmund奇异积分算子理论以及局部Tb定理、多线性奇异积分算子和Fourier乘子理论、多线性嵌入定理、流形上特征函数的模估计、带权不等式、非线性Schrodinger方程、函数空间理论等方面的一些问题的新进展。
　　《调和分析及其应用中的一些问题》将有益于调和分析及其相关领域的研究者以及硕士生、博士生。

【目录】

MultilinearEmbeddingandHardy'sInequality
WilliamBeckner
1Multilinearconvolutioninequalities
2DiagonaltracerestrictionforHardy'sinequality
3Diagonaltracerestrictionforamultilinearfractionalintegral
4Multilinearintegralsandrearrangement
Acknowledgements
References

Real-variableTheoryofOrlicz-typeFunctionSpacesAssociatedwithOperators——ASurvey
Der-ChenChang，DachunYangandSibeiYang
1Introduction
2OrlicztypespacesassociatedwithoperatorssatisfyingPoissonestimates
3Musielak-Orlicztypespacesassociatedwithnonnegativeself-adjointoperatorssatisfyingDavies-Gaffneyestimates
4Musielak-OrlicztypespacesassociatedwithoperatorssatisfyingboundedHa-functionalcalculus
Acknowledgements
References

BoundednessofRoughStronglySingularIntegralOperators
JiechengChen，DashanFanandMengWang
1Lp——+Lqboundednessonroughoperators
2Thephasefunctionisnotradial
3ThekernelsatisfiesaLipschitzcondition
4ThekernelisCa
References

OntheDimensionDependenceofSomeWeightedInequalities
AlbertoCriadoandFernandoSoria
1Introduction
2Themaximaloperatoroverradialfunctions
3Proofsofthemainresults
4Kakeyamaximaloperator
Acknowledgements
References

LpEstimatesforMulti-parameterandMultilinearFourierMultipliersandPseudo-differentialOperators
WeiDai，GuozhenLuandLuZhang
1Introduction
2Lpestimatesformulti-parameterandmulti-linearparaproducts，multipliersandpseudo-differentialoperators
3Lpestimatesforbilinearandmulti-parameterHilberttransforms
4Lpestimatesforbilinearoperatorsgivenbynon-smoothsymbolswithone-dimensionalsingularitysetintherange1/2Acknowledgements
References

ExistenceandUniquenessTheoryfortheFractionalSchrSdingerEquationontheTorus
SeckinDemirbas，M.BurakErdoanandNikolaosTzirakis
1Introduction
2Notationandpreliminaries
3Strichartzestimates
4Localwell-posednessviatheX8，bmethod
5Asmoothingestimate
6Globalwell-posednessviahigh-lowfrequencydecomposition
References

CompactnessofMaximalCommutatorsofBilinearCalder6n-ZygmundSingularIntegralOperators
YongDing，TingMeiandQingyingXue
References

WeakHardySpaces
LoukasGrafakosandDanqingHe
References

ALocalTbTheoremwithVector-valuedTestingFunctions
AnaGraudelaHerrenandSteveHofmann
T1Theoremforsquare
functions
References

Non-homogeneousLocalT1TheoremDualExponents
MichaelT.LaceyandAnttiV.Vdhdkangas
References

TheDynamicsoftheNLSwiththeCombinedTermsinFiveandHigherDimensions
ChangxingMiao，GuixiangXuandLifengZhao
Acknowledgements
References

SharpEstimatesforBilinearFourierMultiplierOperators
AkihikoMiyachiandNaohitoTomita
References

WeightedEstimatesforFractionalTypeMarcinkiewiczIntegral
OperatorsAssociatedtoSurfaces
YoshihiroSawanoandKSz6Yabuta
Triebel-Lizorkinspaces
References

CommutatorEstimatesfortheDirichlet-to-NeumannMapinLipschitzDomains
ZhongweiShen
References

ANoteonLP-normsofQuasi-modes
ChristopherD.SoggeandSteveZelditch
References

AstalasConjecturefromthePointofViewofSingularIntegralsonMetricSpaces
AlexanderVolberg
Acknowledgements
References

JieXiaoandZhiehunZhai
Acknowledgements
References
AListofPh.D.StudentsPost-doctorsandVisitingScholarsSupervisedbyProfessorShanzhenLuandForeignCollaboratorsWhoWorkedwithProfessorShanzhenLu