Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real interpolation of Hardy-type spaces and BMO-regularity   Let $(X, Y)$ be a couple of quasi-Banach lattices of measurable functions on
$\mathbb T \times \Omega$ satisfying some additional assumptions. The
K-closedness of a couple of Hardy-type spaces $(X_A, Y_A)$ in $(X, Y)$ and the
stability of the real interpolation $(X_A, Y_A)_{\theta, p} = (X_A + Y_A) \cap
(X, Y)_{\theta, p}$ are shown to be equivalent to each other and to the
BMO-regularity of the associated lattices $\left(L_1, \left(X^r\right)'
Y^r\right)_{\delta, q}$. The inclusion $\left(X^{1 - \theta} Y^\theta\right)_A
\subset \left(X_A, Y_A \right)_{\theta, \infty}$ is also characterized in these
therms. New examples of couples $(X_A, Y_A)$ with this stability are given,
proving that this property is strictly weaker than the BMO-regularity of $(X,
Y)$.

30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas