前辅文
 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 H∞-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 ThekernelisC∞
  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 < p ≤ 2/3
  Acknowledgements
  References
 Existence and Uniqueness Theory for the Fractional Schr¨odinger Equation on the Torus
  Seckin Demirbas, MBurak Erdo˘gan and Nikolaos Tzirakis
  1 Introduction
  2 Notation and preliminaries
  3 Strichartz estimates
  4 Local well-posedness via the Xs,b method
  5 A smoothing estimate
  6 Global well-posedness via high-low frequency decomposition
  References
 Compactness of Maximal Commutators of Bilinear Calder′on-Zygmund Singular Integral Operators
  Yong Ding, Ting Mei and Qingying Xue
  1 Introduction and main results
  2 The proof of Theorem1.1
  3 The proof of Theorem1.2
  References
 Weak Hardy Spaces
  Loukas Grafakos and Danqing He
  1 Introduction
  2 Relevant background
  3 The proof of Theorem1
  4 Properties of Hp,∞
  5 Square function characterization of Hp,∞
  References
 A Local Tb Theorem with Vector-valued Testing Functions
  Ana Grau de la Herr´an and Steve Hofmann
  1 Introduction, history, preliminaries
  2 Alocal Tb theorem with vector-valued testing functions
  3 Application of Theorem 2.13 to the theory of layer potentials
  4 Appendix: a generalized Christ-Journ´e T 1 Theorem for square
  functions
  References
 Non-homogeneous Local T 1 Theorem: Dual Exponents
  Michael TLacey and Antti VV¨ah¨akangas
  1 Introduction
  2 Preliminaries
  3 Perturbations and a basic decomposition
  4 A stopping tree construction
  5 The inside-paraproduct term
  6 The inside-stopping/error term
  7 The separated term
  8 Preparations for the nearby term
  9 The nearby-non-boundary term
  10 The nearby-boundary term
  References
 The Dynamics of the NLS with the Combined Terms in Five and Higher Dimensions
  Changxing Miao, Guixiang Xu and Lifeng Zhao
  1 Introduction
  2 Preliminaries
  3 Variational characterization
  4 Part I: blow up for K−
  5 Profile decomposition
  6 Part II: GWP and scattering for K+
  Acknowledgements
  References
 Sharp Estimates for Bilinear Fourier Multiplier Operators
  Akihiko Miyachi and Naohito Tomita
  1 Introduction
  2 Product type Sobolev scale
  3 EstimatesforL2 × L∞ → L2
  4 EstimatesforH1 × L∞ → L1
  5 EstimatesforL∞ × L∞ → BMO
  6 EstimatesforH1 × H1 → L1/2
  7 EstimatesforH1 × L2 → L2/3
  8 Proof of the only if part
  9 Isotropic Besov scale
  References
 Weighted Estimates for Fractional Type Marcinkiewicz Integral Operators Associated to Surfaces
  Yoshihiro Sawano and Kˆozˆo Yabuta
  1 Introduction
  2 Preparation for the proof of Theorem3
  3 Proof of Theorem3
  4 Proof of Proposition 1
  5 Appendix: complex interpolation of homogeneous weighted
  Triebel-Lizorkin spaces
  References
 Commutator Estimates for the Dirichlet-to-Neumann Map in Lipschitz Domains
  Zhongwei Shen
  1 Introduction
  2 Dahlberg’s bilinear estimate, Part I
  3 Dahlberg’s bilinear estimate, Part II
  4 Trilinear estimates and proof of Theorem 1.1
  5 Proof of Theorem1.2
  References
 A Note on Lp-norms of Quasi-modes
  Christopher DSogge and Steve Zelditch
  1 Introduction and main results
  2 Proof that Proposition 1.3 implies Theorems 1.1 and 1.2
  3 Proof of Proposition 1.3
  4 Applications to breaking convexity bounds
  References
 Astala’s Conjecture from the Point of View of Singular Integrals on Metric Spaces
  Alexander Volberg
  1 Introduction
  2 A simple proof of Theorem 1The weighted estimate of Ahlfors-Beurling transform = unweighted estimate of a certain non-symmetric Calder´on-Zygmund operator on a metric space
  3 T 1 theorem for non-homogeneous metric measure spaces
  Acknowledgements
  References
 or Besov Spaces ˙Λp,qα (Rn) with _α, (p, q)_ ∈ (0, 1) × _(0, 1]×(0, 1] \ {(1, 1)}_
  Jie Xiao and Zhichun Zhai
  1 Introduction
  2 C.S.I
  3 Applications
  Acknowledgements
  References
 A List of tudents, Post-doctors and Visiting Scholars Supervised by Professor Shanzhen Lu and Foreign Collaborators Who Worked with Professor Shanzhen Lu