Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harmonic functions on the real hyperbolic ball II Hardy and Lipschitz
  spaces   In this paper, we pursue the study of harmonic functions on the real
hyperbolic ball started by the second named author. Our focus here is on the
theory of Hardy, Hardy-Sobolev and Lipschitz spaces of these functions. We
prove here that these spaces admit Fefferman-Stein like characterizations in
terms of maximal and square functionals. We further prove that the hyperbolic
harmonic extension of Lipschitz functions on the boundary extend into Lipschitz
functions on the whole ball.

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
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin