Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hausdorff Operators on Compact Abelian Groups   Necessary and sufficient conditions are given for boundedness of Hausdorff
operators on generalized Hardy spaces $H^p_E(G)$, real Hardy space
$H^1_{\mathbb{R}}(G)$, $BMO(G)$, and $BMOA(G)$ for compact Abelian group $G$.
Surprisingly, these conditions turned out to be the same for all groups and
spaces under consideration. Applications to Dirichlet series are given. The
case of the space of continuous functions on $G$ and examples are also
considered.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio