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调和分析及其应用中的一些问题

调和分析及其应用中的一些问题

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作 者: 李俊峰,李晓春,陆国震 编
出版社: 高等教育出版社
丛编项:
标 签: 暂缺

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ISBN: 9787040430189 出版时间: 2015-08-01 包装: 平装
开本: 16开 页数: 422 字数:  

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。

作者简介

暂缺《调和分析及其应用中的一些问题》作者简介

图书目录

Multilinear Embedding and Hardy's Inequality
William Beckner
1 Multilinear convolution inequalities
2 Diagonal trace restriction for Hardy's inequality
3 Diagonal trace restriction for a multilinear fractional integral
4 Multilinear integrals and rearrangement
Acknowledgements
References
Real-variable Theory of Orlicz-type Function Spaces Associated with Operators —— A Survey
Der-Chen Chang, Dachun Yang and Sibei Yang
1 Introduction
2 Orlicz type spaces associated with operators satisfying Poisson estimates
3 Musielak-Orlicz type spaces associated with nonnegative self-adjoint operators satisfying Davies-Gaffney estimates
4 Musielak-Orlicz type spaces associated with operators satisfying bounded Ha-functional calculus
Acknowledgements
References
Boundedness of Rough Strongly Singular Integral Operators
Jiecheng Chen, Dashan Fan and Meng Wang
1 Lp ——+ Lq boundedness on rough operators
2 The phase function is not radial
3 The kernel satisfies a Lipschitz condition
4 The kernel is Ca
References
On the Dimension Dependence of Some Weighted Inequalities
Alberto Criado and Fernando Soria
1 Introduction
2 The maximal operator over radial functions
3 Proofs of the main results
4 Kakeya maximal operator
Acknowledgements
References
Lp Estimates for Multi-parameter and Multilinear Fourier Multipliers and Pseudo-differential Operators
Wei Dai, Guozhen Lu and Lu Zhang
1 Introduction
2 Lp estimates for multi-parameter and multi-linear paraproducts, multipliers and pseudo-differential operators
3 Lp estimates for bilinear and multi-parameter Hilbert transforms
4 Lp estimates for bilinear operators given by non-smooth symbols with one-dimensional singularity set in the range 1/2<>
Acknowledgements
References
Existence and Uniqueness Theory for the Fractional SchrSdinger Equation on the Torus
Seckin Demirbas, M. Burak Erdoan and Nikolaos Tzirakis
1 Introduction
2 Notation and preliminaries
3 Strichartz estimates
4 Local well-posedness via the X8,b method
5 A smoothing estimate
6 Global well-posedness via high-low frequency decomposition
References
Compactness of Maximal Commutators of Bilinear Calder6n-Zygmund Singular Integral Operators
Yong Ding, Ting Mei and Qingying Xue
References
Weak Hardy Spaces
Loukas Grafakos and Danqing He
References
A Local Tb Theorem with Vector-valued Testing Functions
Ana Grau de la Herren and Steve Hofmann
T1 Theorem for square
functions
References
Non-homogeneous Local T1 Theorem Dual Exponents
Michael T. Lacey and Antti V. Vdhdkangas
References
The Dynamics of the NLS with the Combined Terms in Five and Higher Dimensions
Changxing Miao, Guixiang Xu and Lifeng Zhao
Acknowledgements
References
Sharp Estimates for Bilinear Fourier Multiplier Operators
Akihiko Miyachi and Naohito Tomita
References
Weighted Estimates for Fractional Type Marcinkiewicz Integral
Operators Associated to Surfaces
Yoshihiro Sawano and KSz6 Yabuta
Triebel-Lizorkin spaces
References
Commutator Estimates for the Dirichlet-to-Neumann Map in Lipschitz Domains
Zhongwei Shen
References
A Note on LP-norms of Quasi-modes
Christopher D. Sogge and Steve Zelditch
References
Astalas Conjecture from the Point of View of Singular Integrals on Metric Spaces
Alexander Volberg
Acknowledgements
References
Jie Xiao and Zhiehun Zhai
Acknowledgements
References
A List of Ph.D. Students Post-doctors and Visiting Scholars Supervised by Professor Shanzhen Lu and Foreign Collaborators Who Worked with Professor Shanzhen Lu

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