Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudo-localization of singular integrals and noncommutative
  Littlewood-Paley inequalities   We prove weak type inequalities for a large class of noncommutative square
functions. In conjunction with BMO type estimates, interpolation and duality,
we will obtain the corresponding equivalences in the whole Lp scale. The main
novelty of our approach relies on a row/column valued theory for noncommutative
martingale transforms and operator-valued Calderon-Zygmund operators. This
seems to be new in the noncommutative setting and might be regarded as a first
step towards a vector-valued noncommutative theory. Some examples and
applications are also explored.

36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int