Complex symmetric weighted composition operators on H γ ( D )
We study the complex symmetric structure of weighted composition operators of the form Wψ,ϕ on the Hilbert space Hγ(D) of holomorphic functions over the open unit disk D with reproducing kernels K(γ) w = (1 − wz)−γ, where γ ∈ N. First, we consider conjugations on Hγ(D) of the form Au,vf = u·f ◦ v...
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sg-ntu-dr.10356-1075992023-02-28T19:50:11Z Complex symmetric weighted composition operators on H γ ( D ) Lim, Renon Khoi, Le Hai School of Physical and Mathematical Sciences Science::Mathematics Hardy Space Bergman Space We study the complex symmetric structure of weighted composition operators of the form Wψ,ϕ on the Hilbert space Hγ(D) of holomorphic functions over the open unit disk D with reproducing kernels K(γ) w = (1 − wz)−γ, where γ ∈ N. First, we consider conjugations on Hγ(D) of the form Au,vf = u·f ◦ v (such conjugations are also known as weighted composition conjugations) and characterize them into two classes, denoted by C1 and C2. Then, we obtain explicit conditions for Wψ,ϕ when it is C1-symmetric and C2-symmetric respectively Accepted version 2019-11-06T09:00:31Z 2019-12-06T22:35:25Z 2019-11-06T09:00:31Z 2019-12-06T22:35:25Z 2018 Journal Article Lim, R., & Khoi, L. H. (2018). Complex symmetric weighted composition operators on H γ ( D ) . Journal of Mathematical Analysis and Applications, 464(1), 101-118. doi:10.1016/j.jmaa.2018.03.071 0022-247X https://hdl.handle.net/10356/107599 http://hdl.handle.net/10220/50352 10.1016/j.jmaa.2018.03.071 en Journal of Mathematical Analysis and Applications © 2018 Elsevier Inc. All rights reserved. This paper was published in Journal of Mathematical Analysis and Applications and is made available with permission of Elsevier Inc. 18 p. application/pdf |
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English |
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Science::Mathematics Hardy Space Bergman Space |
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Science::Mathematics Hardy Space Bergman Space Lim, Renon Khoi, Le Hai Complex symmetric weighted composition operators on H γ ( D ) |
| description |
We study the complex symmetric structure of weighted composition operators of
the form Wψ,ϕ on the Hilbert space Hγ(D) of holomorphic functions over the open
unit disk D with reproducing kernels K(γ) w = (1 − wz)−γ, where γ ∈ N. First, we
consider conjugations on Hγ(D) of the form Au,vf = u·f ◦ v (such conjugations are
also known as weighted composition conjugations) and characterize them into two
classes, denoted by C1 and C2. Then, we obtain explicit conditions for Wψ,ϕ when
it is C1-symmetric and C2-symmetric respectively |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Lim, Renon Khoi, Le Hai |
| format |
Article |
| author |
Lim, Renon Khoi, Le Hai |
| author_sort |
Lim, Renon |
| title |
Complex symmetric weighted composition operators on
H
γ
(
D
) |
| title_short |
Complex symmetric weighted composition operators on
H
γ
(
D
) |
| title_full |
Complex symmetric weighted composition operators on
H
γ
(
D
) |
| title_fullStr |
Complex symmetric weighted composition operators on
H
γ
(
D
) |
| title_full_unstemmed |
Complex symmetric weighted composition operators on
H
γ
(
D
) |
| title_sort |
complex symmetric weighted composition operators on
h
γ
(
d
) |
| publishDate |
2019 |
| url |
https://hdl.handle.net/10356/107599 http://hdl.handle.net/10220/50352 |
| _version_ |
1759856274987548672 |