Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded weighted composition operators on functional quasi-Banach spaces
  and stability of dynamical systems   In this paper, we investigate the boundedness of weighted composition
operators defined on a quasi-Banach space continuously included in the space of
smooth functions on a manifold. We show that the boundedness of a weighted
composition operator strongly limits the dynamics of the original map, and it
provides us an effective method to investigate properties of weighted
composition operators via the theory of dynamical system. As a result, we prove
that only an affine map can induce a bounded composition operator on an
arbitrary quasi-Banach space continuously included in the space of entire
functions of one-variable. We also obtain the same result for bounded weighted
composition operators on infinite dimensional quasi-Banach space under certain
condition for weights. We also prove that any polynomial automorphism except an
affine transform cannot induce a bounded weighted composition operator with
non-vanishing weight on a quasi-Banach space composed of entire functions in
the two-dimensional complex affine space under certain conditions.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph