Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp matrix weighted strong type inequalities for the dyadic square
  function   In this paper we refine the recent sparse domination of the integrated $p =
2$ matrix weighted dyadic square function by T. Hytonen, S. Petermichl, and A.
Volberg to prove a pointwise sparse domination of general matrix weighted
dyadic square functions. We then use this to prove sharp two matrix weighted
strong type inequalities for matrix weighted dyadic square functions when $1 <
p \leq 2$.

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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an