Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Product Hardy spaces associated to operators with heat kernel bounds on
  spaces of homogeneous type   The aim of this article is to develop the theory of product Hardy spaces
associated with operators which possess the weak assumption of Davies--Gaffney
heat kernel estimates, in the setting of spaces of homogeneous type. We also
establish a Calder\'on--Zygmund decomposition on product spaces, which is of
independent interest, and use it to study the interpolation of these product
Hardy spaces. We then show that under the assumption of generalized Gaussian
estimates, the product Hardy spaces coincide with the Lebesgue spaces, for an
appropriate range of~$p$.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int