包邮调和分析及其应用中的一些问题

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 < p < 2/3
  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
  1  tntrn(tnetinn nh rn r,it
  2  the proof of theorem 1.1
  3  the proof of theorem 1.2
  references
weak hardy spaces
  loukas grafakos and danqing he
  1  introduction
  2  relevant background
  3  the proof of theorem 1
  4  properties of hp'
  5  square function characterization of hp'
  references
a local tb theorem with vector-valued testing functions...
  ana grau de la herren and steve hofmann
  1  introduction, history, preliminaries
  2  a local 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@ t1 theorem for square
  functions
  references
non-homogeneous local t1 theorem" dual exponents
  michael t. lacey and antti v. vdhdkangas
  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 ]c+
  acknowledgements
  references
sharp estimates for bilinear fourier multiplier operators
  akihiko miyachi and naohito tomita
  1  introduction
  2  product type sobolev scale
  3  estimates for l2 x l --, l2
  4  estimates for h1 x l -- l1
  5  estimates for l x l --, bmo
  6  estimates for h1 x h1  l1/2
  7  estimates for h1 x l  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 ksz6 yabuta
  1  introduction
  2  preparation for the proof of theorem 3
  3  proof of theorem 3
  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 theorem 1.2
  references
a note on lp-norms of quasi-modes
  christopher d. sogge 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
astalas conjecture from the point of view of singular integrals
  on metric spaces
  alexander volberg
  1  introduction
  2  a simple proof of theorem 1. the weighted estimate of
  ahlfors-beurling transform = unweighted estimate of a certain
  non-symmetric calder6n-zygmund operator on a metric space  . . .
  3  t1 theorem for non-homogeneous metric measure spaces
  acknowledgements
  references
  c.s.i. for besov spaces p'q(]) with (a, (p,q)) e (0, 1)x ((0, 1]x
  (0,1] \ {(1,1)})
  jie xiao and zhiehun zhai
  1  introduction
  2  c.s.i
  3  applications
  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