Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted composition semigroups on some Banach spaces   We characterize strong continuity of general operator semigroups on some
Lebesgue spaces. In particular, a characterization of strong continuity of
weighted composition semigroups on classical Hardy spaces and weighted Bergman
spaces with regular weights is given. As applications, our result improves the
results of Siskakis, A. G. \cite{AG1} and K\"{o}nig, W. \cite{K} and answers a
question of Siskakis, A. G. proposed in \cite{AG4}. We also characterize
strongly continuous semigroups of weighted composition operators on weighted
Bergman spaces in terms of abelian intertwiners of multiplication operator
$M_z$.

5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat