Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix weighted norm inequalities for commutators and paraproducts with
  matrix symbols   Let $B$ be a locally integrable matrix function, $W$ a matrix A${}_p$ weight
with $1 < p < \infty$, and $T$ be any of the Riesz transforms. We will
characterize the boundedness of the commutator $[T, B]$ on $L^p(W)$ in terms of
the membership of $B$ in a natural matrix weighted BMO space. To do this, we
will characterize the boundedness of dyadic paraproducts on $L^p(W)$ via a new
matrix weighted Carleson embedding theorem. Finally, we will use some of the
ideas from these proofs to (among other things) obtain quantitative weighted
norm inequalities for these operators and also use them to prove sharp $L^2$
bounds for the Christ/Goldberg matrix weighted maximal function associated with
matrix A${}_2$ weights.

26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph