Weighted composition operators between different fock spaces

We study weighted composition operators acting between Fock spaces. The following results are obtained: (i) Criteria for the boundedness and compactness. (ii) Characterizations of compact differences and essential norm. (iii) Complete descriptions of path connected components and isolated points of...

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Main Authors: Tien, Pham Trong, Khoi, Le Hai
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/85744
http://hdl.handle.net/10220/48298
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Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-85744
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spelling sg-ntu-dr.10356-857442023-02-28T19:33:35Z Weighted composition operators between different fock spaces Tien, Pham Trong Khoi, Le Hai School of Physical and Mathematical Sciences Fock Space Weighted Composition Operator DRNTU::Science::Mathematics We study weighted composition operators acting between Fock spaces. The following results are obtained: (i) Criteria for the boundedness and compactness. (ii) Characterizations of compact differences and essential norm. (iii) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators. MOE (Min. of Education, S’pore) Accepted version 2019-05-21T07:59:36Z 2019-12-06T16:09:27Z 2019-05-21T07:59:36Z 2019-12-06T16:09:27Z 2018 Journal Article Tien, P. T., & Khoi, L. H. (2019). Weighted composition operators between different fock spaces. Potential Analysis, 50(2), 171-195. doi:10.1007/s11118-017-9678-y 0926-2601 https://hdl.handle.net/10356/85744 http://hdl.handle.net/10220/48298 10.1007/s11118-017-9678-y en Potential Analysis © 2018 Springer Science+Business Media German. All rights reserved. This is a post-peer-review, pre-copyedit version of an article published in Potential Analysis. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11118-017-9678-y 27 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Fock Space
Weighted Composition Operator
DRNTU::Science::Mathematics
spellingShingle Fock Space
Weighted Composition Operator
DRNTU::Science::Mathematics
Tien, Pham Trong
Khoi, Le Hai
Weighted composition operators between different fock spaces
description We study weighted composition operators acting between Fock spaces. The following results are obtained: (i) Criteria for the boundedness and compactness. (ii) Characterizations of compact differences and essential norm. (iii) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Tien, Pham Trong
Khoi, Le Hai
format Article
author Tien, Pham Trong
Khoi, Le Hai
author_sort Tien, Pham Trong
title Weighted composition operators between different fock spaces
title_short Weighted composition operators between different fock spaces
title_full Weighted composition operators between different fock spaces
title_fullStr Weighted composition operators between different fock spaces
title_full_unstemmed Weighted composition operators between different fock spaces
title_sort weighted composition operators between different fock spaces
publishDate 2019
url https://hdl.handle.net/10356/85744
http://hdl.handle.net/10220/48298
_version_ 1759854933919662080