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　　陸善鎮教授專攻調和分析及其應用，特彆是在Bochner-Riesz平均、奇異積分和振蕩積分算子有界性以及函數空間理論方麵做齣瞭重要的貢獻。他培養瞭一大批中青年數學工作者並成為中國調和分析及其應用領域的中堅力量。陸先生曾擔任北京師範大學校長，現擔任溫州-肯恩大學校長。
　　《調和分析及其應用中的一些問題》內容定位於陸善鎮教授做齣重要成就及感興趣的領域，匯集瞭多位數學傢以及陸先生的朋友和學生撰寫的學術論文，包括瞭Calderón-Zygmund奇異積分算子理論以及局部Tb定理、多綫性奇異積分算子和Fourier乘子理論、多綫性嵌入定理、流形上特徵函數的模估計、帶權不等式、非綫性Schrodinger方程、函數空間理論等方麵的一些問題的新進展。
　　《調和分析及其應用中的一些問題》將有益於調和分析及其相關領域的研究者以及碩士生、博士生。

目錄

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 1/2Acknowledgements
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
調和分析及其應用中的一些問題 [Some Topics in Harmonic Analysis and Applications] 下載 mobi epub pdf txt 電子書

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