Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hardy and BMO spaces associated to divergence form elliptic operators   Consider the second order divergence form elliptic operator $L$ with complex
bounded coefficients. In general, the operators related to it (such as Riesz
transform or square function) lie beyond the scope of the Calder\'{o}n-Zygmund
theory. They need not be bounded in the classical Hardy, BMO and even some
$L^p$ spaces.
  In this work we generalize the classical approach and develop a theory of
Hardy and BMO spaces associated to $L$, which includes, in particular,
molecular decomposition, maximal function characterization, duality of Hardy
and BMO spaces, John-Nirenberg inequality, and allows to handle aforementioned
operators.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg