Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An H1-BMO duality theory for semigroups of operators   Let (M,\mu) be a sigma-finite measure space. Let (T_t) be a semigroup of
positive preserving maps on (M,\mu) with standard assumptions. We prove a
H_1-BMO duality theory with assumptions only on T_t. The BMO is defined as
spaces of functions f such that the L_\infty norm of sup_tT_t|f-T_tf|^2 is
finite. The H1 is defined by square functions of P. A. Meyer's gradient form.
Our argument does not rely on any geometric/metric structure of M nor on the
kernel of the semigroups of operators. This abstract argument allows to extend
our main results to the noncommutative setting, e.g. the case where
L_\infty(M,\mu) is replaced by von Neuman algebras with a semifinite trace. We
also prove a Carleson embedding theorem for semigroups of operators.

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The categories of this paper are: math-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con