Zobrazeno 1 - 10 of 10 pro vyhledávání: '"Houcine Sadraoui"'
1
Akademický článek
Commuting Toeplitz operators on weighted harmonic Bergman spaces and hyponormality on the Bergman space of the punctured unit disk
Autor: Houcine Sadraoui, Borhen Halouani
Publikováno v: AIMS Mathematics, Vol 9, Iss 8, Pp 20043-20057 (2024)
We first describe commuting Toeplitz operators with harmonic symbols on weighted harmonic Bergman spaces. Then, a sufficient condition for hyponormality on weighted Bergman spaces of the punctured unit disk, when the analytic part of the symbol is a
Externí odkaz: https://doaj.org/article/d7231dc077384ae89931de772a063b05
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2
Akademický článek
Hyponormality on a Weighted Bergman Space
Autor: Houcine Sadraoui, Borhen Halouani, Mubariz T. Garayev, Adel AlShehri
Publikováno v: Journal of Function Spaces, Vol 2020 (2020)
A bounded Hilbert space operator T is hyponormal if T∗T−TT∗ is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space. We find a necessary condition for hyponormality in the case of a symbol of the
Externí odkaz: https://doaj.org/article/003a6761464b46b597f969cfdccb82d5
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3
On hyponormality on a weighted annulus
Autor: Houcine Sadraoui, Borhen Halouani, Mubariz T. Garayev
Publikováno v: Open Mathematics. 19:1510-1516
In this work, we consider the hyponormality of Toeplitz operators on the Bergman space of the annulus with a logarithmic weight. We give necessary conditions when the symbol is of the form φ + ψ ¯ \varphi +\overline{\psi } , where φ \varphi and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fec1a3f4b111d35134affaf791e52269
https://doi.org/10.1515/math-2021-0094
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4
Hyponormality on a Weighted Bergman Space
Autor: Borhen Halouani, Houcine Sadraoui, Mubariz T. Garayev, Adel AlShehri
Publikováno v: Journal of Function Spaces, Vol 2020 (2020)
A bounded Hilbert space operatorTis hyponormal ifT∗T−TT∗is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space. We find a necessary condition for hyponormality in the case of a symbol of the form
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be5f34f21da121d0811e88539af5ee18
https://doi.org/10.1155/2020/8398012
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6
On a property of Toeplitz operators on Bergman space with a logarithmic weight
Autor: Houcine Sadraoui, Borhen Halouani
Publikováno v: Afrika Matematika. 31:619-625
An operator T on a Hilbert space is hyponormal if T*T-TT* is positive. In this work we consider hyponormality of Toeplitz operators on the Bergman space with a logarithmic weight. Under a smoothness assumption we give a necessary condition when the s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f377fc3853265be60b831c5fc060913b
https://doi.org/10.1007/s13370-019-00749-1
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7
Hyponormality on general Bergman spaces
Autor: Houcine Sadraoui
Publikováno v: Filomat. 33:5737-5741
A bounded operator T on a Hilbert space is hyponormal if T*T-TT* is positive. We give a necessary condition for the hyponormality of Toeplitz operators on weighted Bergman spaces, for a certain class of radial weights, when the symbol is of the form
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6f347b58e51cbff5829d25d83a9cef15
https://doi.org/10.2298/fil1917737s
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