Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative differential transforms for averaging operators   In this paper, we complete the study of mapping properties for a family of
operators evaluating the difference between differentiation operators and
conditional expectations acting on noncommutative $L_{p}$-spaces. To be more
precise, we establish the weak type $(1,1)$ and $(L_{\infty},\mathrm{BMO})$
estimates of this difference. Consequently, in conjunction with interpolation
and duality, we obtain all strong type $(p,p)$ estimates. This allows us to
obtain a quick application to noncommutative differential transforms for
averaging operators.

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat