Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Endpoint results for the Riesz transform of the Ornstein-Uhlenbeck
  operator   In this paper we introduce a new atomic Hardy space $X^1(\gamma)$ adapted to
the Gauss measure $\gamma$, and prove the boundedness of the first order Riesz
transform associated with the Ornstein-Uhlenbeck operator from $X^1(\gamma)$ to
$L^1(\gamma)$. We also provide a new, short and almost self-contained proof of
its weak-type $(1,1)$.

14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an